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Finding the Fourth Proportional to 6,562.96, 9,845.68 and 2,121.80

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Solution

The fourth proportional to 6,562.96, 9,845.68 and 2,121.80 is: 3,183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.96 : 9,845.68 = 2,121.80 : x
  2. Step 2: Convert to fraction form
    6,562.96/9,845.68 = 2,121.80/x
  3. Step 3: Cross multiply
    6,562.96x = 9,845.68 × 2,121.80
  4. Step 4: Simplify right side
    6,562.96x = 20,890,563.82
  5. Step 5: Solve for x
    x = 20,890,563.82/6,562.96
  6. Step 6: Final answer
    x = 3,183.10

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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.