Answer :
Sure! Let's solve the given proportion using cross multiplication step by step.
We have the proportion:
[tex]\[ \frac{x}{6} = \frac{8}{12} \][/tex]
To solve this proportion using cross multiplication, we'll follow these steps:
1. Cross-multiply the fractions: Multiply the numerator of the first fraction by the denominator of the second fraction, and the numerator of the second fraction by the denominator of the first fraction.
This gives us:
[tex]\[ x \times 12 = 8 \times 6 \][/tex]
2. Simplify the multiplication:
[tex]\[ 12x = 48 \][/tex]
3. Solve for [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], divide both sides of the equation by 12.
[tex]\[ x = \frac{48}{12} \][/tex]
4. Simplify the division:
[tex]\[ x = 4 \][/tex]
So, the value of [tex]\( x \)[/tex] is [tex]\( 4 \)[/tex].
Hence, the solution to the proportion [tex]\(\frac{x}{6} = \frac{8}{12}\)[/tex] is:
[tex]\[ x = 4 \][/tex]
We have the proportion:
[tex]\[ \frac{x}{6} = \frac{8}{12} \][/tex]
To solve this proportion using cross multiplication, we'll follow these steps:
1. Cross-multiply the fractions: Multiply the numerator of the first fraction by the denominator of the second fraction, and the numerator of the second fraction by the denominator of the first fraction.
This gives us:
[tex]\[ x \times 12 = 8 \times 6 \][/tex]
2. Simplify the multiplication:
[tex]\[ 12x = 48 \][/tex]
3. Solve for [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], divide both sides of the equation by 12.
[tex]\[ x = \frac{48}{12} \][/tex]
4. Simplify the division:
[tex]\[ x = 4 \][/tex]
So, the value of [tex]\( x \)[/tex] is [tex]\( 4 \)[/tex].
Hence, the solution to the proportion [tex]\(\frac{x}{6} = \frac{8}{12}\)[/tex] is:
[tex]\[ x = 4 \][/tex]
