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Finding the Fourth Proportional to 6,380.82, 9,571.50 and 1,998.18

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Solution

The fourth proportional to 6,380.82, 9,571.50 and 1,998.18 is: 2,997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.82 : 9,571.50 = 1,998.18 : x
  2. Step 2: Convert to fraction form
    6,380.82/9,571.50 = 1,998.18/x
  3. Step 3: Cross multiply
    6,380.82x = 9,571.50 × 1,998.18
  4. Step 4: Simplify right side
    6,380.82x = 19,125,579.87
  5. Step 5: Solve for x
    x = 19,125,579.87/6,380.82
  6. Step 6: Final answer
    x = 2,997.35

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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.