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Finding the Fourth Proportional to 6,686.38, 9,228.48 and 3,855.64

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Solution

The fourth proportional to 6,686.38, 9,228.48 and 3,855.64 is: 5,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.38 : 9,228.48 = 3,855.64 : x
  2. Step 2: Convert to fraction form
    6,686.38/9,228.48 = 3,855.64/x
  3. Step 3: Cross multiply
    6,686.38x = 9,228.48 × 3,855.64
  4. Step 4: Simplify right side
    6,686.38x = 35,581,696.63
  5. Step 5: Solve for x
    x = 35,581,696.63/6,686.38
  6. Step 6: Final answer
    x = 5,321.52

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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.