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Finding the Fourth Proportional to 8,524.62, 11,764.56 and 5,167.77

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Solution

The fourth proportional to 8,524.62, 11,764.56 and 5,167.77 is: 7,131.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.62 : 11,764.56 = 5,167.77 : x
  2. Step 2: Convert to fraction form
    8,524.62/11,764.56 = 5,167.77/x
  3. Step 3: Cross multiply
    8,524.62x = 11,764.56 × 5,167.77
  4. Step 4: Simplify right side
    8,524.62x = 60,796,540.23
  5. Step 5: Solve for x
    x = 60,796,540.23/8,524.62
  6. Step 6: Final answer
    x = 7,131.88

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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.