Math Problem Statement

Find the missing term in the proportion: 9/11 = y/7

Solution

To solve the proportion given in the image:

911=y7\frac{9}{11} = \frac{y}{7}

We can solve for yy by cross-multiplying:

9×7=11×y9 \times 7 = 11 \times y

This simplifies to:

63=11y63 = 11y

Now, divide both sides by 11 to solve for yy:

y=63115.73y = \frac{63}{11} \approx 5.73

Thus, y5.73y \approx 5.73.

Would you like more details or have any other questions?

Here are 5 related questions for practice:

  1. How would you solve 45=y9\frac{4}{5} = \frac{y}{9}?
  2. If 812=y15\frac{8}{12} = \frac{y}{15}, what is yy?
  3. How do you check if two ratios form a proportion?
  4. Solve the proportion 610=y8\frac{6}{10} = \frac{y}{8}.
  5. If x14=921\frac{x}{14} = \frac{9}{21}, how do you find xx?

Tip: When solving proportions, always cross-multiply to eliminate the fractions and isolate the variable.

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Math Problem Analysis

Mathematical Concepts

Proportions
Algebra

Formulas

Cross-multiplication: a/b = c/d implies a*d = b*c

Theorems

Proportion theorem

Suitable Grade Level

Grade 6-8