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Finding the Fourth Proportional to 6,446.27, 9,669.42 and 1,766.33

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Solution

The fourth proportional to 6,446.27, 9,669.42 and 1,766.33 is: 2,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.27 : 9,669.42 = 1,766.33 : x
  2. Step 2: Convert to fraction form
    6,446.27/9,669.42 = 1,766.33/x
  3. Step 3: Cross multiply
    6,446.27x = 9,669.42 × 1,766.33
  4. Step 4: Simplify right side
    6,446.27x = 17,079,338.28
  5. Step 5: Solve for x
    x = 17,079,338.28/6,446.27
  6. Step 6: Final answer
    x = 2,649.49

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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.