solve for x 4/7=x/56

To solve the equation \( \frac{4}{7} = \frac{x}{56} \), you can cross-multiply to eliminate the fractions. Here’s how you can do it:

1. Cross-multiply:
\[
4 \times 56 = 7 \times x
\]

2. Calculate \( 4 \times 56 \):
\[
4 \times 56 = 224
\]

3. So now you have:
\[
224 = 7x
\]

4. To solve for \( x \), divide both sides by 7:
\[
x = \frac{224}{7}
\]

5. Now, calculate \( \frac{224}{7} \):
\[
x = 32
\]

Thus, the solution is:
\[
x = 32
\]