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Finding the Fourth Proportional to 6,643.62, 9,167.98 and 3,659.46

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Solution

The fourth proportional to 6,643.62, 9,167.98 and 3,659.46 is: 5,049.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.62 : 9,167.98 = 3,659.46 : x
  2. Step 2: Convert to fraction form
    6,643.62/9,167.98 = 3,659.46/x
  3. Step 3: Cross multiply
    6,643.62x = 9,167.98 × 3,659.46
  4. Step 4: Simplify right side
    6,643.62x = 33,549,856.09
  5. Step 5: Solve for x
    x = 33,549,856.09/6,643.62
  6. Step 6: Final answer
    x = 5,049.94

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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.