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Finding the Fourth Proportional to 7,760.82, 10,691.11 and 5,767.92

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Solution

The fourth proportional to 7,760.82, 10,691.11 and 5,767.92 is: 7,945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.82 : 10,691.11 = 5,767.92 : x
  2. Step 2: Convert to fraction form
    7,760.82/10,691.11 = 5,767.92/x
  3. Step 3: Cross multiply
    7,760.82x = 10,691.11 × 5,767.92
  4. Step 4: Simplify right side
    7,760.82x = 61,665,467.19
  5. Step 5: Solve for x
    x = 61,665,467.19/7,760.82
  6. Step 6: Final answer
    x = 7,945.74

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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.