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Finding the Fourth Proportional to 6,467, 8,924.46 and 3,983

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Solution

The fourth proportional to 6,467, 8,924.46 and 3,983 is: 5,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467 : 8,924.46 = 3,983 : x
  2. Step 2: Convert to fraction form
    6,467/8,924.46 = 3,983/x
  3. Step 3: Cross multiply
    6,467x = 8,924.46 × 3,983
  4. Step 4: Simplify right side
    6,467x = 35,546,124.18
  5. Step 5: Solve for x
    x = 35,546,124.18/6,467
  6. Step 6: Final answer
    x = 5,496.54

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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.