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Finding the Fourth Proportional to 13,414.70, 18,512.25 and 7,446.44

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Solution

The fourth proportional to 13,414.70, 18,512.25 and 7,446.44 is: 10,276.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.70 : 18,512.25 = 7,446.44 : x
  2. Step 2: Convert to fraction form
    13,414.70/18,512.25 = 7,446.44/x
  3. Step 3: Cross multiply
    13,414.70x = 18,512.25 × 7,446.44
  4. Step 4: Simplify right side
    13,414.70x = 137,850,229.10
  5. Step 5: Solve for x
    x = 137,850,229.10/13,414.70
  6. Step 6: Final answer
    x = 10,276.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.