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Finding the Fourth Proportional to 6,175.41, 9,260.69 and 2,278.50

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Solution

The fourth proportional to 6,175.41, 9,260.69 and 2,278.50 is: 3,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.41 : 9,260.69 = 2,278.50 : x
  2. Step 2: Convert to fraction form
    6,175.41/9,260.69 = 2,278.50/x
  3. Step 3: Cross multiply
    6,175.41x = 9,260.69 × 2,278.50
  4. Step 4: Simplify right side
    6,175.41x = 21,100,470.77
  5. Step 5: Solve for x
    x = 21,100,470.77/6,175.41
  6. Step 6: Final answer
    x = 3,416.85

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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.