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Finding the Fourth Proportional to 6,580.38, 9,870.66 and 2,197.84

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Solution

The fourth proportional to 6,580.38, 9,870.66 and 2,197.84 is: 3,296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.38 : 9,870.66 = 2,197.84 : x
  2. Step 2: Convert to fraction form
    6,580.38/9,870.66 = 2,197.84/x
  3. Step 3: Cross multiply
    6,580.38x = 9,870.66 × 2,197.84
  4. Step 4: Simplify right side
    6,580.38x = 21,694,131.37
  5. Step 5: Solve for x
    x = 21,694,131.37/6,580.38
  6. Step 6: Final answer
    x = 3,296.79

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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.