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Finding the Fourth Proportional to 6,092.48, 8,404.16 and 3,849.92

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Solution

The fourth proportional to 6,092.48, 8,404.16 and 3,849.92 is: 5,310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.48 : 8,404.16 = 3,849.92 : x
  2. Step 2: Convert to fraction form
    6,092.48/8,404.16 = 3,849.92/x
  3. Step 3: Cross multiply
    6,092.48x = 8,404.16 × 3,849.92
  4. Step 4: Simplify right side
    6,092.48x = 32,355,343.67
  5. Step 5: Solve for x
    x = 32,355,343.67/6,092.48
  6. Step 6: Final answer
    x = 5,310.70

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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.