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Finding the Fourth Proportional to 6,134.50, 9,187.11 and 3,531.97

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Solution

The fourth proportional to 6,134.50, 9,187.11 and 3,531.97 is: 5,289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.50 : 9,187.11 = 3,531.97 : x
  2. Step 2: Convert to fraction form
    6,134.50/9,187.11 = 3,531.97/x
  3. Step 3: Cross multiply
    6,134.50x = 9,187.11 × 3,531.97
  4. Step 4: Simplify right side
    6,134.50x = 32,448,596.91
  5. Step 5: Solve for x
    x = 32,448,596.91/6,134.50
  6. Step 6: Final answer
    x = 5,289.53

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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.