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Finding the Fourth Proportional to 24,385.92, 36,575.14 and 7,743.79

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Solution

The fourth proportional to 24,385.92, 36,575.14 and 7,743.79 is: 11,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,385.92 : 36,575.14 = 7,743.79 : x
  2. Step 2: Convert to fraction form
    24,385.92/36,575.14 = 7,743.79/x
  3. Step 3: Cross multiply
    24,385.92x = 36,575.14 × 7,743.79
  4. Step 4: Simplify right side
    24,385.92x = 283,230,203.38
  5. Step 5: Solve for x
    x = 283,230,203.38/24,385.92
  6. Step 6: Final answer
    x = 11,614.50

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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.