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Finding the Fourth Proportional to 8,099.92, 12,149.88 and 4,196.13

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Solution

The fourth proportional to 8,099.92, 12,149.88 and 4,196.13 is: 6,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.92 : 12,149.88 = 4,196.13 : x
  2. Step 2: Convert to fraction form
    8,099.92/12,149.88 = 4,196.13/x
  3. Step 3: Cross multiply
    8,099.92x = 12,149.88 × 4,196.13
  4. Step 4: Simplify right side
    8,099.92x = 50,982,475.96
  5. Step 5: Solve for x
    x = 50,982,475.96/8,099.92
  6. Step 6: Final answer
    x = 6,294.20

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Half scale
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Double scale
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Similar ratio
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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.