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Finding the Fourth Proportional to 10,957.10, 16,414.05 and 6,334.70

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Solution

The fourth proportional to 10,957.10, 16,414.05 and 6,334.70 is: 9,489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.10 : 16,414.05 = 6,334.70 : x
  2. Step 2: Convert to fraction form
    10,957.10/16,414.05 = 6,334.70/x
  3. Step 3: Cross multiply
    10,957.10x = 16,414.05 × 6,334.70
  4. Step 4: Simplify right side
    10,957.10x = 103,978,082.54
  5. Step 5: Solve for x
    x = 103,978,082.54/10,957.10
  6. Step 6: Final answer
    x = 9,489.56

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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.