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Finding the Fourth Proportional to 6,961.34, 10,441.74 and 1,767.17

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Solution

The fourth proportional to 6,961.34, 10,441.74 and 1,767.17 is: 2,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.34 : 10,441.74 = 1,767.17 : x
  2. Step 2: Convert to fraction form
    6,961.34/10,441.74 = 1,767.17/x
  3. Step 3: Cross multiply
    6,961.34x = 10,441.74 × 1,767.17
  4. Step 4: Simplify right side
    6,961.34x = 18,452,329.68
  5. Step 5: Solve for x
    x = 18,452,329.68/6,961.34
  6. Step 6: Final answer
    x = 2,650.69

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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.