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Finding the Fourth Proportional to 10,957.68, 16,414.65 and 6,787.80

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Solution

The fourth proportional to 10,957.68, 16,414.65 and 6,787.80 is: 10,168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.68 : 16,414.65 = 6,787.80 : x
  2. Step 2: Convert to fraction form
    10,957.68/16,414.65 = 6,787.80/x
  3. Step 3: Cross multiply
    10,957.68x = 16,414.65 × 6,787.80
  4. Step 4: Simplify right side
    10,957.68x = 111,419,361.27
  5. Step 5: Solve for x
    x = 111,419,361.27/10,957.68
  6. Step 6: Final answer
    x = 10,168.15

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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.