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What procedure can be used to solve the equation [tex]\frac{x}{19.3} = 38.6[/tex], and what is the solution?

A. Multiply [tex]\frac{x}{19.3}[/tex] by 19.3; the solution is 38.6.
B. Multiply [tex]\frac{x}{19.3}[/tex] by 19.3; the solution is 372.49.
C. Multiply both sides by 19.3; the solution is 38.6.
D. Multiply both sides by 19.3; the solution is 744.98.

Answer :

To solve the equation
[tex]$$
\frac{x}{19.3} = 38.6,
$$[/tex]
follow these steps:

1. Multiply both sides of the equation by [tex]$19.3$[/tex] to isolate [tex]$x$[/tex]:
[tex]$$
19.3 \cdot \frac{x}{19.3} = 38.6 \cdot 19.3.
$$[/tex]

2. On the left side, the [tex]$19.3$[/tex] cancels out, leaving:
[tex]$$
x = 38.6 \times 19.3.
$$[/tex]

3. After performing the multiplication, you find that:
[tex]$$
x = 744.98.
$$[/tex]

Thus, the procedure is to multiply both sides by [tex]$19.3$[/tex], and the solution to the equation is
[tex]$$
\boxed{744.98}.
$$[/tex]

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