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Finding the Fourth Proportional to 6,092.97, 8,408.86 and 3,702.38

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Solution

The fourth proportional to 6,092.97, 8,408.86 and 3,702.38 is: 5,109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.97 : 8,408.86 = 3,702.38 : x
  2. Step 2: Convert to fraction form
    6,092.97/8,408.86 = 3,702.38/x
  3. Step 3: Cross multiply
    6,092.97x = 8,408.86 × 3,702.38
  4. Step 4: Simplify right side
    6,092.97x = 31,132,812.13
  5. Step 5: Solve for x
    x = 31,132,812.13/6,092.97
  6. Step 6: Final answer
    x = 5,109.63

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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.