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Finding the Fourth Proportional to 6,650.22, 9,177.19 and 3,666

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Solution

The fourth proportional to 6,650.22, 9,177.19 and 3,666 is: 5,059.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.22 : 9,177.19 = 3,666 : x
  2. Step 2: Convert to fraction form
    6,650.22/9,177.19 = 3,666/x
  3. Step 3: Cross multiply
    6,650.22x = 9,177.19 × 3,666
  4. Step 4: Simplify right side
    6,650.22x = 33,643,578.54
  5. Step 5: Solve for x
    x = 33,643,578.54/6,650.22
  6. Step 6: Final answer
    x = 5,059.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.