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Finding the Fourth Proportional to 6,577.81, 9,865.46 and 2,194.09

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Solution

The fourth proportional to 6,577.81, 9,865.46 and 2,194.09 is: 3,290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.81 : 9,865.46 = 2,194.09 : x
  2. Step 2: Convert to fraction form
    6,577.81/9,865.46 = 2,194.09/x
  3. Step 3: Cross multiply
    6,577.81x = 9,865.46 × 2,194.09
  4. Step 4: Simplify right side
    6,577.81x = 21,645,687.95
  5. Step 5: Solve for x
    x = 21,645,687.95/6,577.81
  6. Step 6: Final answer
    x = 3,290.71

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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.