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Finding the Fourth Proportional to 24,943.56, 37,415.31 and 9,149.31

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Solution

The fourth proportional to 24,943.56, 37,415.31 and 9,149.31 is: 13,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,943.56 : 37,415.31 = 9,149.31 : x
  2. Step 2: Convert to fraction form
    24,943.56/37,415.31 = 9,149.31/x
  3. Step 3: Cross multiply
    24,943.56x = 37,415.31 × 9,149.31
  4. Step 4: Simplify right side
    24,943.56x = 342,324,269.94
  5. Step 5: Solve for x
    x = 342,324,269.94/24,943.56
  6. Step 6: Final answer
    x = 13,723.95

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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.