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Finding the Fourth Proportional to 6,380.49, 9,570.74 and 1,998.29

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Solution

The fourth proportional to 6,380.49, 9,570.74 and 1,998.29 is: 2,997.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.49 : 9,570.74 = 1,998.29 : x
  2. Step 2: Convert to fraction form
    6,380.49/9,570.74 = 1,998.29/x
  3. Step 3: Cross multiply
    6,380.49x = 9,570.74 × 1,998.29
  4. Step 4: Simplify right side
    6,380.49x = 19,125,104.04
  5. Step 5: Solve for x
    x = 19,125,104.04/6,380.49
  6. Step 6: Final answer
    x = 2,997.44

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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.