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Finding the Fourth Proportional to 6,686.25, 9,206.42 and 5,938.91

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Solution

The fourth proportional to 6,686.25, 9,206.42 and 5,938.91 is: 8,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.25 : 9,206.42 = 5,938.91 : x
  2. Step 2: Convert to fraction form
    6,686.25/9,206.42 = 5,938.91/x
  3. Step 3: Cross multiply
    6,686.25x = 9,206.42 × 5,938.91
  4. Step 4: Simplify right side
    6,686.25x = 54,676,099.80
  5. Step 5: Solve for x
    x = 54,676,099.80/6,686.25
  6. Step 6: Final answer
    x = 8,177.39

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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.