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Finding the Fourth Proportional to 6,687, 9,228.69 and 3,854.43

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Solution

The fourth proportional to 6,687, 9,228.69 and 3,854.43 is: 5,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687 : 9,228.69 = 3,854.43 : x
  2. Step 2: Convert to fraction form
    6,687/9,228.69 = 3,854.43/x
  3. Step 3: Cross multiply
    6,687x = 9,228.69 × 3,854.43
  4. Step 4: Simplify right side
    6,687x = 35,571,339.60
  5. Step 5: Solve for x
    x = 35,571,339.60/6,687
  6. Step 6: Final answer
    x = 5,319.48

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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.