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Finding the Fourth Proportional to 6,568.37, 9,850.43 and 2,184.65

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Solution

The fourth proportional to 6,568.37, 9,850.43 and 2,184.65 is: 3,276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.37 : 9,850.43 = 2,184.65 : x
  2. Step 2: Convert to fraction form
    6,568.37/9,850.43 = 2,184.65/x
  3. Step 3: Cross multiply
    6,568.37x = 9,850.43 × 2,184.65
  4. Step 4: Simplify right side
    6,568.37x = 21,519,698.11
  5. Step 5: Solve for x
    x = 21,519,698.11/6,568.37
  6. Step 6: Final answer
    x = 3,276.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.