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Finding the Fourth Proportional to 6,350, 8,763 and 3,866

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Solution

The fourth proportional to 6,350, 8,763 and 3,866 is: 5,335.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350 : 8,763 = 3,866 : x
  2. Step 2: Convert to fraction form
    6,350/8,763 = 3,866/x
  3. Step 3: Cross multiply
    6,350x = 8,763 × 3,866
  4. Step 4: Simplify right side
    6,350x = 33,877,758
  5. Step 5: Solve for x
    x = 33,877,758/6,350
  6. Step 6: Final answer
    x = 5,335.08

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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.