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Finding the Fourth Proportional to 6,195.25, 9,294.09 and 2,732.50

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Solution

The fourth proportional to 6,195.25, 9,294.09 and 2,732.50 is: 4,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.25 : 9,294.09 = 2,732.50 : x
  2. Step 2: Convert to fraction form
    6,195.25/9,294.09 = 2,732.50/x
  3. Step 3: Cross multiply
    6,195.25x = 9,294.09 × 2,732.50
  4. Step 4: Simplify right side
    6,195.25x = 25,396,100.93
  5. Step 5: Solve for x
    x = 25,396,100.93/6,195.25
  6. Step 6: Final answer
    x = 4,099.29

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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.