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Finding the Fourth Proportional to 6,342.50, 9,517.16 and 2,647.26

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Solution

The fourth proportional to 6,342.50, 9,517.16 and 2,647.26 is: 3,972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.50 : 9,517.16 = 2,647.26 : x
  2. Step 2: Convert to fraction form
    6,342.50/9,517.16 = 2,647.26/x
  3. Step 3: Cross multiply
    6,342.50x = 9,517.16 × 2,647.26
  4. Step 4: Simplify right side
    6,342.50x = 25,194,396.98
  5. Step 5: Solve for x
    x = 25,194,396.98/6,342.50
  6. Step 6: Final answer
    x = 3,972.31

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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.