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Finding the Fourth Proportional to 9,711.75, 13,452.97 and 9,514.92

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Solution

The fourth proportional to 9,711.75, 13,452.97 and 9,514.92 is: 13,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.75 : 13,452.97 = 9,514.92 : x
  2. Step 2: Convert to fraction form
    9,711.75/13,452.97 = 9,514.92/x
  3. Step 3: Cross multiply
    9,711.75x = 13,452.97 × 9,514.92
  4. Step 4: Simplify right side
    9,711.75x = 128,003,942.28
  5. Step 5: Solve for x
    x = 128,003,942.28/9,711.75
  6. Step 6: Final answer
    x = 13,180.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.