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Finding the Fourth Proportional to 9,791.52, 14,691.60 and 6,097.92

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Solution

The fourth proportional to 9,791.52, 14,691.60 and 6,097.92 is: 9,149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.52 : 14,691.60 = 6,097.92 : x
  2. Step 2: Convert to fraction form
    9,791.52/14,691.60 = 6,097.92/x
  3. Step 3: Cross multiply
    9,791.52x = 14,691.60 × 6,097.92
  4. Step 4: Simplify right side
    9,791.52x = 89,588,201.47
  5. Step 5: Solve for x
    x = 89,588,201.47/9,791.52
  6. Step 6: Final answer
    x = 9,149.57

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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.