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Finding the Fourth Proportional to 27,149.40, 40,724.10 and 9,616.95

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Solution

The fourth proportional to 27,149.40, 40,724.10 and 9,616.95 is: 14,425.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,149.40 : 40,724.10 = 9,616.95 : x
  2. Step 2: Convert to fraction form
    27,149.40/40,724.10 = 9,616.95/x
  3. Step 3: Cross multiply
    27,149.40x = 40,724.10 × 9,616.95
  4. Step 4: Simplify right side
    27,149.40x = 391,641,633.50
  5. Step 5: Solve for x
    x = 391,641,633.50/27,149.40
  6. Step 6: Final answer
    x = 14,425.43

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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.