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Finding the Fourth Proportional to 17,749.76, 24,494.25 and 9,791.97

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Solution

The fourth proportional to 17,749.76, 24,494.25 and 9,791.97 is: 13,512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,749.76 : 24,494.25 = 9,791.97 : x
  2. Step 2: Convert to fraction form
    17,749.76/24,494.25 = 9,791.97/x
  3. Step 3: Cross multiply
    17,749.76x = 24,494.25 × 9,791.97
  4. Step 4: Simplify right side
    17,749.76x = 239,846,906.04
  5. Step 5: Solve for x
    x = 239,846,906.04/17,749.76
  6. Step 6: Final answer
    x = 13,512.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.