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Finding the Fourth Proportional to 6,760, 9,329 and 3,775.96

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Solution

The fourth proportional to 6,760, 9,329 and 3,775.96 is: 5,210.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760 : 9,329 = 3,775.96 : x
  2. Step 2: Convert to fraction form
    6,760/9,329 = 3,775.96/x
  3. Step 3: Cross multiply
    6,760x = 9,329 × 3,775.96
  4. Step 4: Simplify right side
    6,760x = 35,225,930.84
  5. Step 5: Solve for x
    x = 35,225,930.84/6,760
  6. Step 6: Final answer
    x = 5,210.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.