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Finding the Fourth Proportional to 6,756, 10,138.50 and 2,599.44

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Solution

The fourth proportional to 6,756, 10,138.50 and 2,599.44 is: 3,900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756 : 10,138.50 = 2,599.44 : x
  2. Step 2: Convert to fraction form
    6,756/10,138.50 = 2,599.44/x
  3. Step 3: Cross multiply
    6,756x = 10,138.50 × 2,599.44
  4. Step 4: Simplify right side
    6,756x = 26,354,422.44
  5. Step 5: Solve for x
    x = 26,354,422.44/6,756
  6. Step 6: Final answer
    x = 3,900.89

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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.