To solve the equation [tex]\(\frac{4}{7} = \frac{20}{x}\)[/tex], let's follow these steps:
1. Cross Multiply:
Cross multiplying the equation helps eliminate the fractions. This means we multiply the numerator of one fraction by the denominator of the other fraction:
[tex]\[
4 \cdot x = 20 \cdot 7
\][/tex]
2. Simplify Both Sides:
Simplify the right-hand side of the equation:
[tex]\[
4x = 140
\][/tex]
3. Solve for [tex]\(x\)[/tex]:
To isolate [tex]\(x\)[/tex], divide both sides of the equation by 4:
[tex]\[
x = \frac{140}{4}
\][/tex]
4. Calculate the Division:
Perform the division:
[tex]\[
x = 35
\][/tex]
Therefore, the value of [tex]\(x\)[/tex] is [tex]\(\boxed{35}\)[/tex].
