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Finding the Fourth Proportional to 6,467, 8,924.04 and 3,813.80

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Solution

The fourth proportional to 6,467, 8,924.04 and 3,813.80 is: 5,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467 : 8,924.04 = 3,813.80 : x
  2. Step 2: Convert to fraction form
    6,467/8,924.04 = 3,813.80/x
  3. Step 3: Cross multiply
    6,467x = 8,924.04 × 3,813.80
  4. Step 4: Simplify right side
    6,467x = 34,034,503.75
  5. Step 5: Solve for x
    x = 34,034,503.75/6,467
  6. Step 6: Final answer
    x = 5,262.80

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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.