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Finding the Fourth Proportional to 6,568.78, 9,849.90 and 3,283.78

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Solution

The fourth proportional to 6,568.78, 9,849.90 and 3,283.78 is: 4,924.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.78 : 9,849.90 = 3,283.78 : x
  2. Step 2: Convert to fraction form
    6,568.78/9,849.90 = 3,283.78/x
  3. Step 3: Cross multiply
    6,568.78x = 9,849.90 × 3,283.78
  4. Step 4: Simplify right side
    6,568.78x = 32,344,904.62
  5. Step 5: Solve for x
    x = 32,344,904.62/6,568.78
  6. Step 6: Final answer
    x = 4,924.04

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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.