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Finding the Fourth Proportional to 8,189.53, 12,282.17 and 2,344.77

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Solution

The fourth proportional to 8,189.53, 12,282.17 and 2,344.77 is: 3,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.53 : 12,282.17 = 2,344.77 : x
  2. Step 2: Convert to fraction form
    8,189.53/12,282.17 = 2,344.77/x
  3. Step 3: Cross multiply
    8,189.53x = 12,282.17 × 2,344.77
  4. Step 4: Simplify right side
    8,189.53x = 28,798,863.75
  5. Step 5: Solve for x
    x = 28,798,863.75/8,189.53
  6. Step 6: Final answer
    x = 3,516.55

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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.