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Finding the Fourth Proportional to 6,668, 9,201.84 and 3,873.68

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Solution

The fourth proportional to 6,668, 9,201.84 and 3,873.68 is: 5,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668 : 9,201.84 = 3,873.68 : x
  2. Step 2: Convert to fraction form
    6,668/9,201.84 = 3,873.68/x
  3. Step 3: Cross multiply
    6,668x = 9,201.84 × 3,873.68
  4. Step 4: Simplify right side
    6,668x = 35,644,983.57
  5. Step 5: Solve for x
    x = 35,644,983.57/6,668
  6. Step 6: Final answer
    x = 5,345.68

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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.