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Finding the Fourth Proportional to 6,580.67, 9,869.93 and 2,198.11

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Solution

The fourth proportional to 6,580.67, 9,869.93 and 2,198.11 is: 3,296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.67 : 9,869.93 = 2,198.11 : x
  2. Step 2: Convert to fraction form
    6,580.67/9,869.93 = 2,198.11/x
  3. Step 3: Cross multiply
    6,580.67x = 9,869.93 × 2,198.11
  4. Step 4: Simplify right side
    6,580.67x = 21,695,204.49
  5. Step 5: Solve for x
    x = 21,695,204.49/6,580.67
  6. Step 6: Final answer
    x = 3,296.81

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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.