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Finding the Fourth Proportional to 6,568, 9,849.52 and 2,184.80

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Solution

The fourth proportional to 6,568, 9,849.52 and 2,184.80 is: 3,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568 : 9,849.52 = 2,184.80 : x
  2. Step 2: Convert to fraction form
    6,568/9,849.52 = 2,184.80/x
  3. Step 3: Cross multiply
    6,568x = 9,849.52 × 2,184.80
  4. Step 4: Simplify right side
    6,568x = 21,519,231.30
  5. Step 5: Solve for x
    x = 21,519,231.30/6,568
  6. Step 6: Final answer
    x = 3,276.38

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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.