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Finding the Fourth Proportional to 6,342.50, 9,517.02 and 2,833.58

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Solution

The fourth proportional to 6,342.50, 9,517.02 and 2,833.58 is: 4,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.50 : 9,517.02 = 2,833.58 : x
  2. Step 2: Convert to fraction form
    6,342.50/9,517.02 = 2,833.58/x
  3. Step 3: Cross multiply
    6,342.50x = 9,517.02 × 2,833.58
  4. Step 4: Simplify right side
    6,342.50x = 26,967,237.53
  5. Step 5: Solve for x
    x = 26,967,237.53/6,342.50
  6. Step 6: Final answer
    x = 4,251.83

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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.