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Finding the Fourth Proportional to 6,767, 10,150.50 and 2,383.96

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Solution

The fourth proportional to 6,767, 10,150.50 and 2,383.96 is: 3,575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767 : 10,150.50 = 2,383.96 : x
  2. Step 2: Convert to fraction form
    6,767/10,150.50 = 2,383.96/x
  3. Step 3: Cross multiply
    6,767x = 10,150.50 × 2,383.96
  4. Step 4: Simplify right side
    6,767x = 24,198,385.98
  5. Step 5: Solve for x
    x = 24,198,385.98/6,767
  6. Step 6: Final answer
    x = 3,575.94

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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.