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Finding the Fourth Proportional to 6,496.62, 8,967.64 and 3,844.02

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Solution

The fourth proportional to 6,496.62, 8,967.64 and 3,844.02 is: 5,306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.62 : 8,967.64 = 3,844.02 : x
  2. Step 2: Convert to fraction form
    6,496.62/8,967.64 = 3,844.02/x
  3. Step 3: Cross multiply
    6,496.62x = 8,967.64 × 3,844.02
  4. Step 4: Simplify right side
    6,496.62x = 34,471,770.10
  5. Step 5: Solve for x
    x = 34,471,770.10/6,496.62
  6. Step 6: Final answer
    x = 5,306.11

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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.