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Finding the Fourth Proportional to 8,097.92, 12,132.10 and 5,871.23

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Solution

The fourth proportional to 8,097.92, 12,132.10 and 5,871.23 is: 8,796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.92 : 12,132.10 = 5,871.23 : x
  2. Step 2: Convert to fraction form
    8,097.92/12,132.10 = 5,871.23/x
  3. Step 3: Cross multiply
    8,097.92x = 12,132.10 × 5,871.23
  4. Step 4: Simplify right side
    8,097.92x = 71,230,376.87
  5. Step 5: Solve for x
    x = 71,230,376.87/8,097.92
  6. Step 6: Final answer
    x = 8,796.13

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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.