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Finding the Fourth Proportional to 6,638.82, 9,958.68 and 2,478.75

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Solution

The fourth proportional to 6,638.82, 9,958.68 and 2,478.75 is: 3,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.82 : 9,958.68 = 2,478.75 : x
  2. Step 2: Convert to fraction form
    6,638.82/9,958.68 = 2,478.75/x
  3. Step 3: Cross multiply
    6,638.82x = 9,958.68 × 2,478.75
  4. Step 4: Simplify right side
    6,638.82x = 24,685,078.05
  5. Step 5: Solve for x
    x = 24,685,078.05/6,638.82
  6. Step 6: Final answer
    x = 3,718.29

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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.