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Finding the Fourth Proportional to 6,471.66, 9,706.68 and 2,088.66

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Solution

The fourth proportional to 6,471.66, 9,706.68 and 2,088.66 is: 3,132.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.66 : 9,706.68 = 2,088.66 : x
  2. Step 2: Convert to fraction form
    6,471.66/9,706.68 = 2,088.66/x
  3. Step 3: Cross multiply
    6,471.66x = 9,706.68 × 2,088.66
  4. Step 4: Simplify right side
    6,471.66x = 20,273,954.25
  5. Step 5: Solve for x
    x = 20,273,954.25/6,471.66
  6. Step 6: Final answer
    x = 3,132.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.