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Finding the Fourth Proportional to 5,665.67, 8,494.01 and 2,154.97

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Solution

The fourth proportional to 5,665.67, 8,494.01 and 2,154.97 is: 3,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.67 : 8,494.01 = 2,154.97 : x
  2. Step 2: Convert to fraction form
    5,665.67/8,494.01 = 2,154.97/x
  3. Step 3: Cross multiply
    5,665.67x = 8,494.01 × 2,154.97
  4. Step 4: Simplify right side
    5,665.67x = 18,304,336.73
  5. Step 5: Solve for x
    x = 18,304,336.73/5,665.67
  6. Step 6: Final answer
    x = 3,230.75

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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.