Answer :
To find the missing number in the proportion [tex]\(\frac{14}{15} = \frac{70}{x}\)[/tex], you can use the method of cross-multiplication. Here are the steps:
1. Set up the proportion:
- You have [tex]\(\frac{14}{15} = \frac{70}{x}\)[/tex].
2. Cross-multiply:
- This involves multiplying across the equality diagonally, setting the products equal to each other.
- Multiply 14 by [tex]\(x\)[/tex], and multiply 15 by 70.
3. Write the equation from the cross-multiplication:
- [tex]\(14 \times x = 15 \times 70\)[/tex].
4. Calculate the product on the right side:
- Multiply 15 by 70 to get 1050. So, the equation becomes:
- [tex]\(14x = 1050\)[/tex].
5. Solve for [tex]\(x\)[/tex] by dividing:
- To isolate [tex]\(x\)[/tex], divide both sides of the equation by 14.
- [tex]\(x = \frac{1050}{14}\)[/tex].
6. Perform the division:
- Divide 1050 by 14 to find that [tex]\(x = 75\)[/tex].
Therefore, the missing number [tex]\(x\)[/tex] in the proportion is 75.
1. Set up the proportion:
- You have [tex]\(\frac{14}{15} = \frac{70}{x}\)[/tex].
2. Cross-multiply:
- This involves multiplying across the equality diagonally, setting the products equal to each other.
- Multiply 14 by [tex]\(x\)[/tex], and multiply 15 by 70.
3. Write the equation from the cross-multiplication:
- [tex]\(14 \times x = 15 \times 70\)[/tex].
4. Calculate the product on the right side:
- Multiply 15 by 70 to get 1050. So, the equation becomes:
- [tex]\(14x = 1050\)[/tex].
5. Solve for [tex]\(x\)[/tex] by dividing:
- To isolate [tex]\(x\)[/tex], divide both sides of the equation by 14.
- [tex]\(x = \frac{1050}{14}\)[/tex].
6. Perform the division:
- Divide 1050 by 14 to find that [tex]\(x = 75\)[/tex].
Therefore, the missing number [tex]\(x\)[/tex] in the proportion is 75.
