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Finding the Fourth Proportional to 10,672.70, 15,972.60 and 9,797.90

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Solution

The fourth proportional to 10,672.70, 15,972.60 and 9,797.90 is: 14,663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.70 : 15,972.60 = 9,797.90 : x
  2. Step 2: Convert to fraction form
    10,672.70/15,972.60 = 9,797.90/x
  3. Step 3: Cross multiply
    10,672.70x = 15,972.60 × 9,797.90
  4. Step 4: Simplify right side
    10,672.70x = 156,497,937.54
  5. Step 5: Solve for x
    x = 156,497,937.54/10,672.70
  6. Step 6: Final answer
    x = 14,663.39

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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.