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Finding the Fourth Proportional to 8,601.44, 12,906.48 and 6,414.56

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Solution

The fourth proportional to 8,601.44, 12,906.48 and 6,414.56 is: 9,625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.44 : 12,906.48 = 6,414.56 : x
  2. Step 2: Convert to fraction form
    8,601.44/12,906.48 = 6,414.56/x
  3. Step 3: Cross multiply
    8,601.44x = 12,906.48 × 6,414.56
  4. Step 4: Simplify right side
    8,601.44x = 82,789,390.35
  5. Step 5: Solve for x
    x = 82,789,390.35/8,601.44
  6. Step 6: Final answer
    x = 9,625.06

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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.