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Finding the Fourth Proportional to 24,728.73, 37,097.96 and 9,146.49

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Solution

The fourth proportional to 24,728.73, 37,097.96 and 9,146.49 is: 13,721.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,728.73 : 37,097.96 = 9,146.49 : x
  2. Step 2: Convert to fraction form
    24,728.73/37,097.96 = 9,146.49/x
  3. Step 3: Cross multiply
    24,728.73x = 37,097.96 × 9,146.49
  4. Step 4: Simplify right side
    24,728.73x = 339,316,074.43
  5. Step 5: Solve for x
    x = 339,316,074.43/24,728.73
  6. Step 6: Final answer
    x = 13,721.53

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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.