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Finding the Fourth Proportional to 6,563.72, 9,843.46 and 2,180

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Solution

The fourth proportional to 6,563.72, 9,843.46 and 2,180 is: 3,269.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.72 : 9,843.46 = 2,180 : x
  2. Step 2: Convert to fraction form
    6,563.72/9,843.46 = 2,180/x
  3. Step 3: Cross multiply
    6,563.72x = 9,843.46 × 2,180
  4. Step 4: Simplify right side
    6,563.72x = 21,458,731.90
  5. Step 5: Solve for x
    x = 21,458,731.90/6,563.72
  6. Step 6: Final answer
    x = 3,269.29

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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.