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Finding the Fourth Proportional to 22,952.86, 34,429.29 and 7,381.42

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Solution

The fourth proportional to 22,952.86, 34,429.29 and 7,381.42 is: 11,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.86 : 34,429.29 = 7,381.42 : x
  2. Step 2: Convert to fraction form
    22,952.86/34,429.29 = 7,381.42/x
  3. Step 3: Cross multiply
    22,952.86x = 34,429.29 × 7,381.42
  4. Step 4: Simplify right side
    22,952.86x = 254,137,049.79
  5. Step 5: Solve for x
    x = 254,137,049.79/22,952.86
  6. Step 6: Final answer
    x = 11,072.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.