https://file.aiquickdraw.com/mathbot/file/1726339217409vqhiusab.jpg

The given equation is:

\[
\frac{\pi}{7} = \frac{a}{4}
\]

To solve for \( a \), we can cross-multiply:

\[
\pi \cdot 4 = a \cdot 7
\]

This simplifies to:

\[
4\pi = 7a
\]

Now, divide both sides by 7 to isolate \( a \):

\[
a = \frac{4\pi}{7}
\]

Thus, the value of \( a \) is \( \frac{4\pi}{7} \).

Would you like more details on the solution or have any further questions?

Here are 5 related questions for practice:
1. Solve \( \frac{3}{5} = \frac{b}{7} \) for \( b \).
2. Solve \( \frac{5}{8} = \frac{c}{9} \) for \( c \).
3. If \( \frac{x}{12} = \frac{2}{3} \), what is \( x \)?
4. Solve \( \frac{d}{6} = \frac{5}{4} \) for \( d \).
5. What is the value of \( e \) if \( \frac{e}{9} = \frac{\pi}{3} \)?

**Tip:** When solving proportional equations, cross-multiplying helps simplify the equation quickly.

Solve for a in the equation \( \frac{\pi}{7} = \frac{a}{4} \)

Learn how to solve the proportional equation \( \frac{\pi}{7} = \frac{a}{4} \) using cross-multiplication. This problem helps understand proportions and basic algebra. Suitable for students in Grades 6-8.

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