Question

Solve for x in the proportion 7/x = 56/120

Answer 1

To solve the proportion \( \frac{7}{x} = \frac{56}{120} \), we can use cross-multiplication.

This means we multiply the numerator of one fraction by the denominator of the other fraction:

\[
7 \cdot 120 = 56 \cdot x
\]

Calculating \( 7 \cdot 120 \):

\[
7 \cdot 120 = 840
\]

So now we have:

\[
840 = 56x
\]

Next, we solve for \( x \) by dividing both sides of the equation by 56:

\[
x = \frac{840}{56}
\]

Now, we can simplify \( \frac{840}{56} \):

Dividing the numerator and denominator by 56:

\[
x = 15
\]

Thus, the solution for \( x \) is:

\[
\boxed{15}
\]