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Finding the Fourth Proportional to 6,828, 10,242 and 2,724

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Solution

The fourth proportional to 6,828, 10,242 and 2,724 is: 4,086

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828 : 10,242 = 2,724 : x
  2. Step 2: Convert to fraction form
    6,828/10,242 = 2,724/x
  3. Step 3: Cross multiply
    6,828x = 10,242 × 2,724
  4. Step 4: Simplify right side
    6,828x = 27,899,208
  5. Step 5: Solve for x
    x = 27,899,208/6,828
  6. Step 6: Final answer
    x = 4,086

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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.