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Finding the Fourth Proportional to 6,481.92, 9,716.16 and 5,911.68

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Solution

The fourth proportional to 6,481.92, 9,716.16 and 5,911.68 is: 8,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.92 : 9,716.16 = 5,911.68 : x
  2. Step 2: Convert to fraction form
    6,481.92/9,716.16 = 5,911.68/x
  3. Step 3: Cross multiply
    6,481.92x = 9,716.16 × 5,911.68
  4. Step 4: Simplify right side
    6,481.92x = 57,438,828.75
  5. Step 5: Solve for x
    x = 57,438,828.75/6,481.92
  6. Step 6: Final answer
    x = 8,861.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.