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Finding the Fourth Proportional to 6,732.25, 10,098.27 and 2,349.69

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Solution

The fourth proportional to 6,732.25, 10,098.27 and 2,349.69 is: 3,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.25 : 10,098.27 = 2,349.69 : x
  2. Step 2: Convert to fraction form
    6,732.25/10,098.27 = 2,349.69/x
  3. Step 3: Cross multiply
    6,732.25x = 10,098.27 × 2,349.69
  4. Step 4: Simplify right side
    6,732.25x = 23,727,804.04
  5. Step 5: Solve for x
    x = 23,727,804.04/6,732.25
  6. Step 6: Final answer
    x = 3,524.50

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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.