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Finding the Fourth Proportional to 9,687.40, 14,487.90 and 8,132.20

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Solution

The fourth proportional to 9,687.40, 14,487.90 and 8,132.20 is: 12,162.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.40 : 14,487.90 = 8,132.20 : x
  2. Step 2: Convert to fraction form
    9,687.40/14,487.90 = 8,132.20/x
  3. Step 3: Cross multiply
    9,687.40x = 14,487.90 × 8,132.20
  4. Step 4: Simplify right side
    9,687.40x = 117,818,500.38
  5. Step 5: Solve for x
    x = 117,818,500.38/9,687.40
  6. Step 6: Final answer
    x = 12,162.04

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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.