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Finding the Fourth Proportional to 6,661.38, 9,984.47 and 3,367.52

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Solution

The fourth proportional to 6,661.38, 9,984.47 and 3,367.52 is: 5,047.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.38 : 9,984.47 = 3,367.52 : x
  2. Step 2: Convert to fraction form
    6,661.38/9,984.47 = 3,367.52/x
  3. Step 3: Cross multiply
    6,661.38x = 9,984.47 × 3,367.52
  4. Step 4: Simplify right side
    6,661.38x = 33,622,860.91
  5. Step 5: Solve for x
    x = 33,622,860.91/6,661.38
  6. Step 6: Final answer
    x = 5,047.43

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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.