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Finding the Fourth Proportional to 8,092.97, 12,134.42 and 3,410.57

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Solution

The fourth proportional to 8,092.97, 12,134.42 and 3,410.57 is: 5,113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.97 : 12,134.42 = 3,410.57 : x
  2. Step 2: Convert to fraction form
    8,092.97/12,134.42 = 3,410.57/x
  3. Step 3: Cross multiply
    8,092.97x = 12,134.42 × 3,410.57
  4. Step 4: Simplify right side
    8,092.97x = 41,385,236.67
  5. Step 5: Solve for x
    x = 41,385,236.67/8,092.97
  6. Step 6: Final answer
    x = 5,113.73

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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.