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Finding the Fourth Proportional to 8,167.71, 12,251.58 and 2,011.71

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Solution

The fourth proportional to 8,167.71, 12,251.58 and 2,011.71 is: 3,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.71 : 12,251.58 = 2,011.71 : x
  2. Step 2: Convert to fraction form
    8,167.71/12,251.58 = 2,011.71/x
  3. Step 3: Cross multiply
    8,167.71x = 12,251.58 × 2,011.71
  4. Step 4: Simplify right side
    8,167.71x = 24,646,626.00
  5. Step 5: Solve for x
    x = 24,646,626.00/8,167.71
  6. Step 6: Final answer
    x = 3,017.57

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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.