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Finding the Fourth Proportional to 6,765.68, 10,141 and 3,299.12

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Solution

The fourth proportional to 6,765.68, 10,141 and 3,299.12 is: 4,945.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.68 : 10,141 = 3,299.12 : x
  2. Step 2: Convert to fraction form
    6,765.68/10,141 = 3,299.12/x
  3. Step 3: Cross multiply
    6,765.68x = 10,141 × 3,299.12
  4. Step 4: Simplify right side
    6,765.68x = 33,456,375.92
  5. Step 5: Solve for x
    x = 33,456,375.92/6,765.68
  6. Step 6: Final answer
    x = 4,945.01

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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.