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Finding the Fourth Proportional to 8,242.92, 11,375.70 and 5,099.16

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Solution

The fourth proportional to 8,242.92, 11,375.70 and 5,099.16 is: 7,037.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.92 : 11,375.70 = 5,099.16 : x
  2. Step 2: Convert to fraction form
    8,242.92/11,375.70 = 5,099.16/x
  3. Step 3: Cross multiply
    8,242.92x = 11,375.70 × 5,099.16
  4. Step 4: Simplify right side
    8,242.92x = 58,006,514.41
  5. Step 5: Solve for x
    x = 58,006,514.41/8,242.92
  6. Step 6: Final answer
    x = 7,037.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.