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Finding the Fourth Proportional to 6,858, 10,287 and 2,241

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Solution

The fourth proportional to 6,858, 10,287 and 2,241 is: 3,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858 : 10,287 = 2,241 : x
  2. Step 2: Convert to fraction form
    6,858/10,287 = 2,241/x
  3. Step 3: Cross multiply
    6,858x = 10,287 × 2,241
  4. Step 4: Simplify right side
    6,858x = 23,053,167
  5. Step 5: Solve for x
    x = 23,053,167/6,858
  6. Step 6: Final answer
    x = 3,361.50

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Why These Related Problems?

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