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Finding the Fourth Proportional to 6,805, 10,207.50 and 2,188

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Solution

The fourth proportional to 6,805, 10,207.50 and 2,188 is: 3,282

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805 : 10,207.50 = 2,188 : x
  2. Step 2: Convert to fraction form
    6,805/10,207.50 = 2,188/x
  3. Step 3: Cross multiply
    6,805x = 10,207.50 × 2,188
  4. Step 4: Simplify right side
    6,805x = 22,334,010
  5. Step 5: Solve for x
    x = 22,334,010/6,805
  6. Step 6: Final answer
    x = 3,282

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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.