To solve the equation \( \frac{7}{4} = \frac{5}{x} \) for \( x \), you can cross-multiply to eliminate the fractions:

\[
7 \cdot x = 5 \cdot 4
\]

Simplifying this:

\[
7x = 20
\]

Now, solve for \( x \) by dividing both sides by 7:

\[
x = \frac{20}{7}
\]

So, \( x = \frac{20}{7} \).

Would you like more details or have any questions?

Here are some related questions you might find helpful:

1. What is the value of \( x \) if \( \frac{3}{2} = \frac{6}{x} \)?
2. How do you solve proportions involving variables?
3. What are some common methods to solve equations with fractions?
4. How can you check if your solution to a proportion is correct?
5. How do you handle complex fractions in algebraic equations?
6. What happens if a proportion has more than one variable?
7. How does cross-multiplication work in solving equations?
8. Can proportions be solved using different methods other than cross-multiplication?

**Tip:** Always double-check your solution by substituting the value of the variable back into the original equation.

Learn how to solve the proportion 7/4 = 5/x with a step-by-step solution. This problem involves proportions and cross-multiplication to find the value of x. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation