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Finding the Fourth Proportional to 6,264, 8,644.50 and 3,469.68

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Solution

The fourth proportional to 6,264, 8,644.50 and 3,469.68 is: 4,788.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264 : 8,644.50 = 3,469.68 : x
  2. Step 2: Convert to fraction form
    6,264/8,644.50 = 3,469.68/x
  3. Step 3: Cross multiply
    6,264x = 8,644.50 × 3,469.68
  4. Step 4: Simplify right side
    6,264x = 29,993,648.76
  5. Step 5: Solve for x
    x = 29,993,648.76/6,264
  6. Step 6: Final answer
    x = 4,788.26

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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.