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Finding the Fourth Proportional to 3,171.62, 4,757.49 and 863.12

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Solution

The fourth proportional to 3,171.62, 4,757.49 and 863.12 is: 1,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.62 : 4,757.49 = 863.12 : x
  2. Step 2: Convert to fraction form
    3,171.62/4,757.49 = 863.12/x
  3. Step 3: Cross multiply
    3,171.62x = 4,757.49 × 863.12
  4. Step 4: Simplify right side
    3,171.62x = 4,106,284.77
  5. Step 5: Solve for x
    x = 4,106,284.77/3,171.62
  6. Step 6: Final answer
    x = 1,294.70

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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.