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Finding the Fourth Proportional to 6,643.25, 9,167.76 and 3,659.07

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Solution

The fourth proportional to 6,643.25, 9,167.76 and 3,659.07 is: 5,049.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.25 : 9,167.76 = 3,659.07 : x
  2. Step 2: Convert to fraction form
    6,643.25/9,167.76 = 3,659.07/x
  3. Step 3: Cross multiply
    6,643.25x = 9,167.76 × 3,659.07
  4. Step 4: Simplify right side
    6,643.25x = 33,545,475.58
  5. Step 5: Solve for x
    x = 33,545,475.58/6,643.25
  6. Step 6: Final answer
    x = 5,049.56

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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.