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Finding the Fourth Proportional to 6,675, 10,012.50 and 3,027

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Solution

The fourth proportional to 6,675, 10,012.50 and 3,027 is: 4,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675 : 10,012.50 = 3,027 : x
  2. Step 2: Convert to fraction form
    6,675/10,012.50 = 3,027/x
  3. Step 3: Cross multiply
    6,675x = 10,012.50 × 3,027
  4. Step 4: Simplify right side
    6,675x = 30,307,837.50
  5. Step 5: Solve for x
    x = 30,307,837.50/6,675
  6. Step 6: Final answer
    x = 4,540.50

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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.