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Finding the Fourth Proportional to 6,456.24, 9,691.92 and 6,193.44

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Solution

The fourth proportional to 6,456.24, 9,691.92 and 6,193.44 is: 9,297.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.24 : 9,691.92 = 6,193.44 : x
  2. Step 2: Convert to fraction form
    6,456.24/9,691.92 = 6,193.44/x
  3. Step 3: Cross multiply
    6,456.24x = 9,691.92 × 6,193.44
  4. Step 4: Simplify right side
    6,456.24x = 60,026,325.00
  5. Step 5: Solve for x
    x = 60,026,325.00/6,456.24
  6. Step 6: Final answer
    x = 9,297.41

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1.5x scale

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.