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Finding the Fourth Proportional to 12,374.53, 18,551.37 and 8,414.70

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Solution

The fourth proportional to 12,374.53, 18,551.37 and 8,414.70 is: 12,614.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.53 : 18,551.37 = 8,414.70 : x
  2. Step 2: Convert to fraction form
    12,374.53/18,551.37 = 8,414.70/x
  3. Step 3: Cross multiply
    12,374.53x = 18,551.37 × 8,414.70
  4. Step 4: Simplify right side
    12,374.53x = 156,104,213.14
  5. Step 5: Solve for x
    x = 156,104,213.14/12,374.53
  6. Step 6: Final answer
    x = 12,614.96

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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.