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Finding the Fourth Proportional to 6,497.24, 8,965.04 and 3,843.68

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Solution

The fourth proportional to 6,497.24, 8,965.04 and 3,843.68 is: 5,303.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.24 : 8,965.04 = 3,843.68 : x
  2. Step 2: Convert to fraction form
    6,497.24/8,965.04 = 3,843.68/x
  3. Step 3: Cross multiply
    6,497.24x = 8,965.04 × 3,843.68
  4. Step 4: Simplify right side
    6,497.24x = 34,458,680.90
  5. Step 5: Solve for x
    x = 34,458,680.90/6,497.24
  6. Step 6: Final answer
    x = 5,303.59

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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.