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Finding the Fourth Proportional to 6,542.80, 9,818.26 and 2,647.24

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Solution

The fourth proportional to 6,542.80, 9,818.26 and 2,647.24 is: 3,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.80 : 9,818.26 = 2,647.24 : x
  2. Step 2: Convert to fraction form
    6,542.80/9,818.26 = 2,647.24/x
  3. Step 3: Cross multiply
    6,542.80x = 9,818.26 × 2,647.24
  4. Step 4: Simplify right side
    6,542.80x = 25,991,290.60
  5. Step 5: Solve for x
    x = 25,991,290.60/6,542.80
  6. Step 6: Final answer
    x = 3,972.50

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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.