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Finding the Fourth Proportional to 10,074, 15,112.36 and 3,149.04

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Solution

The fourth proportional to 10,074, 15,112.36 and 3,149.04 is: 4,723.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074 : 15,112.36 = 3,149.04 : x
  2. Step 2: Convert to fraction form
    10,074/15,112.36 = 3,149.04/x
  3. Step 3: Cross multiply
    10,074x = 15,112.36 × 3,149.04
  4. Step 4: Simplify right side
    10,074x = 47,589,426.13
  5. Step 5: Solve for x
    x = 47,589,426.13/10,074
  6. Step 6: Final answer
    x = 4,723.99

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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.