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Finding the Fourth Proportional to 6,502.98, 9,759.93 and 6,092.91

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Solution

The fourth proportional to 6,502.98, 9,759.93 and 6,092.91 is: 9,144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.98 : 9,759.93 = 6,092.91 : x
  2. Step 2: Convert to fraction form
    6,502.98/9,759.93 = 6,092.91/x
  3. Step 3: Cross multiply
    6,502.98x = 9,759.93 × 6,092.91
  4. Step 4: Simplify right side
    6,502.98x = 59,466,375.10
  5. Step 5: Solve for x
    x = 59,466,375.10/6,502.98
  6. Step 6: Final answer
    x = 9,144.48

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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.