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Finding the Fourth Proportional to 6,474.70, 9,706.11 and 2,089.90

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Solution

The fourth proportional to 6,474.70, 9,706.11 and 2,089.90 is: 3,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.70 : 9,706.11 = 2,089.90 : x
  2. Step 2: Convert to fraction form
    6,474.70/9,706.11 = 2,089.90/x
  3. Step 3: Cross multiply
    6,474.70x = 9,706.11 × 2,089.90
  4. Step 4: Simplify right side
    6,474.70x = 20,284,799.29
  5. Step 5: Solve for x
    x = 20,284,799.29/6,474.70
  6. Step 6: Final answer
    x = 3,132.93

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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.