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Finding the Fourth Proportional to 6,568.96, 9,849.96 and 2,866.87

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Solution

The fourth proportional to 6,568.96, 9,849.96 and 2,866.87 is: 4,298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.96 : 9,849.96 = 2,866.87 : x
  2. Step 2: Convert to fraction form
    6,568.96/9,849.96 = 2,866.87/x
  3. Step 3: Cross multiply
    6,568.96x = 9,849.96 × 2,866.87
  4. Step 4: Simplify right side
    6,568.96x = 28,238,505.58
  5. Step 5: Solve for x
    x = 28,238,505.58/6,568.96
  6. Step 6: Final answer
    x = 4,298.78

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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.