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Finding the Fourth Proportional to 9,791.44, 13,509.92 and 6,610.64

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Solution

The fourth proportional to 9,791.44, 13,509.92 and 6,610.64 is: 9,121.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.44 : 13,509.92 = 6,610.64 : x
  2. Step 2: Convert to fraction form
    9,791.44/13,509.92 = 6,610.64/x
  3. Step 3: Cross multiply
    9,791.44x = 13,509.92 × 6,610.64
  4. Step 4: Simplify right side
    9,791.44x = 89,309,217.55
  5. Step 5: Solve for x
    x = 89,309,217.55/9,791.44
  6. Step 6: Final answer
    x = 9,121.15

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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.