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Finding the Fourth Proportional to 6,568.97, 9,842.49 and 4,617.68

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Solution

The fourth proportional to 6,568.97, 9,842.49 and 4,617.68 is: 6,918.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.97 : 9,842.49 = 4,617.68 : x
  2. Step 2: Convert to fraction form
    6,568.97/9,842.49 = 4,617.68/x
  3. Step 3: Cross multiply
    6,568.97x = 9,842.49 × 4,617.68
  4. Step 4: Simplify right side
    6,568.97x = 45,449,420.01
  5. Step 5: Solve for x
    x = 45,449,420.01/6,568.97
  6. Step 6: Final answer
    x = 6,918.81

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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.