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Finding the Fourth Proportional to 8,098.92, 12,148.38 and 3,481.92

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Solution

The fourth proportional to 8,098.92, 12,148.38 and 3,481.92 is: 5,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.92 : 12,148.38 = 3,481.92 : x
  2. Step 2: Convert to fraction form
    8,098.92/12,148.38 = 3,481.92/x
  3. Step 3: Cross multiply
    8,098.92x = 12,148.38 × 3,481.92
  4. Step 4: Simplify right side
    8,098.92x = 42,299,687.29
  5. Step 5: Solve for x
    x = 42,299,687.29/8,098.92
  6. Step 6: Final answer
    x = 5,222.88

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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.