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Finding the Fourth Proportional to 6,689.71, 10,020.94 and 3,169.05

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Solution

The fourth proportional to 6,689.71, 10,020.94 and 3,169.05 is: 4,747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.71 : 10,020.94 = 3,169.05 : x
  2. Step 2: Convert to fraction form
    6,689.71/10,020.94 = 3,169.05/x
  3. Step 3: Cross multiply
    6,689.71x = 10,020.94 × 3,169.05
  4. Step 4: Simplify right side
    6,689.71x = 31,756,851.50
  5. Step 5: Solve for x
    x = 31,756,851.50/6,689.71
  6. Step 6: Final answer
    x = 4,747.12

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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.