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Finding the Fourth Proportional to 24,654.72, 36,960 and 9,061.44

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Solution

The fourth proportional to 24,654.72, 36,960 and 9,061.44 is: 13,584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,654.72 : 36,960 = 9,061.44 : x
  2. Step 2: Convert to fraction form
    24,654.72/36,960 = 9,061.44/x
  3. Step 3: Cross multiply
    24,654.72x = 36,960 × 9,061.44
  4. Step 4: Simplify right side
    24,654.72x = 334,910,822.40
  5. Step 5: Solve for x
    x = 334,910,822.40/24,654.72
  6. Step 6: Final answer
    x = 13,584.04

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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.