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Finding the Fourth Proportional to 6,643.40, 9,167.88 and 3,659.24

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Solution

The fourth proportional to 6,643.40, 9,167.88 and 3,659.24 is: 5,049.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.40 : 9,167.88 = 3,659.24 : x
  2. Step 2: Convert to fraction form
    6,643.40/9,167.88 = 3,659.24/x
  3. Step 3: Cross multiply
    6,643.40x = 9,167.88 × 3,659.24
  4. Step 4: Simplify right side
    6,643.40x = 33,547,473.21
  5. Step 5: Solve for x
    x = 33,547,473.21/6,643.40
  6. Step 6: Final answer
    x = 5,049.74

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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.