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Finding the Fourth Proportional to 8,241.76, 11,371.24 and 4,883.12

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Solution

The fourth proportional to 8,241.76, 11,371.24 and 4,883.12 is: 6,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.76 : 11,371.24 = 4,883.12 : x
  2. Step 2: Convert to fraction form
    8,241.76/11,371.24 = 4,883.12/x
  3. Step 3: Cross multiply
    8,241.76x = 11,371.24 × 4,883.12
  4. Step 4: Simplify right side
    8,241.76x = 55,527,129.47
  5. Step 5: Solve for x
    x = 55,527,129.47/8,241.76
  6. Step 6: Final answer
    x = 6,737.29

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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.