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Finding the Fourth Proportional to 10,049.97, 14,980.29 and 9,731.55

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Solution

The fourth proportional to 10,049.97, 14,980.29 and 9,731.55 is: 14,505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.97 : 14,980.29 = 9,731.55 : x
  2. Step 2: Convert to fraction form
    10,049.97/14,980.29 = 9,731.55/x
  3. Step 3: Cross multiply
    10,049.97x = 14,980.29 × 9,731.55
  4. Step 4: Simplify right side
    10,049.97x = 145,781,441.15
  5. Step 5: Solve for x
    x = 145,781,441.15/10,049.97
  6. Step 6: Final answer
    x = 14,505.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.