1. Set up the proportion:
\frac{6}{x} = \frac{24}{39}
2. Cross-multiply to solve for \(x\):
6 \cdot 39 = 24 \cdot x
3. Simplify the equation:
234 = 24x
4. Divide both sides by 24:
x = \frac{234}{24}
5. Simplify the fraction:
x = 9.75
So, the answer is:
x = 9.75