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Finding the Fourth Proportional to 37,149.12, 55,723.56 and 9,447.12

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Solution

The fourth proportional to 37,149.12, 55,723.56 and 9,447.12 is: 14,170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,149.12 : 55,723.56 = 9,447.12 : x
  2. Step 2: Convert to fraction form
    37,149.12/55,723.56 = 9,447.12/x
  3. Step 3: Cross multiply
    37,149.12x = 55,723.56 × 9,447.12
  4. Step 4: Simplify right side
    37,149.12x = 526,427,158.15
  5. Step 5: Solve for x
    x = 526,427,158.15/37,149.12
  6. Step 6: Final answer
    x = 14,170.65

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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.