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Finding the Fourth Proportional to 8,201.56, 12,304.26 and 2,654.68

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Solution

The fourth proportional to 8,201.56, 12,304.26 and 2,654.68 is: 3,982.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.56 : 12,304.26 = 2,654.68 : x
  2. Step 2: Convert to fraction form
    8,201.56/12,304.26 = 2,654.68/x
  3. Step 3: Cross multiply
    8,201.56x = 12,304.26 × 2,654.68
  4. Step 4: Simplify right side
    8,201.56x = 32,663,872.94
  5. Step 5: Solve for x
    x = 32,663,872.94/8,201.56
  6. Step 6: Final answer
    x = 3,982.64

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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.