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Finding the Fourth Proportional to 10,170.27, 15,251.83 and 3,052.38

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Solution

The fourth proportional to 10,170.27, 15,251.83 and 3,052.38 is: 4,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.27 : 15,251.83 = 3,052.38 : x
  2. Step 2: Convert to fraction form
    10,170.27/15,251.83 = 3,052.38/x
  3. Step 3: Cross multiply
    10,170.27x = 15,251.83 × 3,052.38
  4. Step 4: Simplify right side
    10,170.27x = 46,554,380.86
  5. Step 5: Solve for x
    x = 46,554,380.86/10,170.27
  6. Step 6: Final answer
    x = 4,577.50

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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.