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Finding the Fourth Proportional to 6,765.14, 10,151.34 and 2,819.13

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Solution

The fourth proportional to 6,765.14, 10,151.34 and 2,819.13 is: 4,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.14 : 10,151.34 = 2,819.13 : x
  2. Step 2: Convert to fraction form
    6,765.14/10,151.34 = 2,819.13/x
  3. Step 3: Cross multiply
    6,765.14x = 10,151.34 × 2,819.13
  4. Step 4: Simplify right side
    6,765.14x = 28,617,947.13
  5. Step 5: Solve for x
    x = 28,617,947.13/6,765.14
  6. Step 6: Final answer
    x = 4,230.21

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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.