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Finding the Fourth Proportional to 10,710.70, 16,066.05 and 9,787.30

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Solution

The fourth proportional to 10,710.70, 16,066.05 and 9,787.30 is: 14,680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.70 : 16,066.05 = 9,787.30 : x
  2. Step 2: Convert to fraction form
    10,710.70/16,066.05 = 9,787.30/x
  3. Step 3: Cross multiply
    10,710.70x = 16,066.05 × 9,787.30
  4. Step 4: Simplify right side
    10,710.70x = 157,243,251.17
  5. Step 5: Solve for x
    x = 157,243,251.17/10,710.70
  6. Step 6: Final answer
    x = 14,680.95

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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.