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Finding the Fourth Proportional to 6,825.25, 10,239.50 and 2,208.25

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Solution

The fourth proportional to 6,825.25, 10,239.50 and 2,208.25 is: 3,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.25 : 10,239.50 = 2,208.25 : x
  2. Step 2: Convert to fraction form
    6,825.25/10,239.50 = 2,208.25/x
  3. Step 3: Cross multiply
    6,825.25x = 10,239.50 × 2,208.25
  4. Step 4: Simplify right side
    6,825.25x = 22,611,375.88
  5. Step 5: Solve for x
    x = 22,611,375.88/6,825.25
  6. Step 6: Final answer
    x = 3,312.90

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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.