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Finding the Fourth Proportional to 9,993.60, 13,791.17 and 5,517.66

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Solution

The fourth proportional to 9,993.60, 13,791.17 and 5,517.66 is: 7,614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.60 : 13,791.17 = 5,517.66 : x
  2. Step 2: Convert to fraction form
    9,993.60/13,791.17 = 5,517.66/x
  3. Step 3: Cross multiply
    9,993.60x = 13,791.17 × 5,517.66
  4. Step 4: Simplify right side
    9,993.60x = 76,094,959.47
  5. Step 5: Solve for x
    x = 76,094,959.47/9,993.60
  6. Step 6: Final answer
    x = 7,614.37

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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.