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Finding the Fourth Proportional to 12,414.76, 18,614.94 and 5,013.16

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Solution

The fourth proportional to 12,414.76, 18,614.94 and 5,013.16 is: 7,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.76 : 18,614.94 = 5,013.16 : x
  2. Step 2: Convert to fraction form
    12,414.76/18,614.94 = 5,013.16/x
  3. Step 3: Cross multiply
    12,414.76x = 18,614.94 × 5,013.16
  4. Step 4: Simplify right side
    12,414.76x = 93,319,672.61
  5. Step 5: Solve for x
    x = 93,319,672.61/12,414.76
  6. Step 6: Final answer
    x = 7,516.83

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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.