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Finding the Fourth Proportional to 8,691.68, 11,991.24 and 5,709.14

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Solution

The fourth proportional to 8,691.68, 11,991.24 and 5,709.14 is: 7,876.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.68 : 11,991.24 = 5,709.14 : x
  2. Step 2: Convert to fraction form
    8,691.68/11,991.24 = 5,709.14/x
  3. Step 3: Cross multiply
    8,691.68x = 11,991.24 × 5,709.14
  4. Step 4: Simplify right side
    8,691.68x = 68,459,667.93
  5. Step 5: Solve for x
    x = 68,459,667.93/8,691.68
  6. Step 6: Final answer
    x = 7,876.46

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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.