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Finding the Fourth Proportional to 6,786, 10,179 and 2,682

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Solution

The fourth proportional to 6,786, 10,179 and 2,682 is: 4,023

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786 : 10,179 = 2,682 : x
  2. Step 2: Convert to fraction form
    6,786/10,179 = 2,682/x
  3. Step 3: Cross multiply
    6,786x = 10,179 × 2,682
  4. Step 4: Simplify right side
    6,786x = 27,300,078
  5. Step 5: Solve for x
    x = 27,300,078/6,786
  6. Step 6: Final answer
    x = 4,023

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.