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Finding the Fourth Proportional to 6,580.84, 9,871.80 and 2,198.40

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Solution

The fourth proportional to 6,580.84, 9,871.80 and 2,198.40 is: 3,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.84 : 9,871.80 = 2,198.40 : x
  2. Step 2: Convert to fraction form
    6,580.84/9,871.80 = 2,198.40/x
  3. Step 3: Cross multiply
    6,580.84x = 9,871.80 × 2,198.40
  4. Step 4: Simplify right side
    6,580.84x = 21,702,165.12
  5. Step 5: Solve for x
    x = 21,702,165.12/6,580.84
  6. Step 6: Final answer
    x = 3,297.78

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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.