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Finding the Fourth Proportional to 6,758, 10,137.04 and 3,470.48

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Solution

The fourth proportional to 6,758, 10,137.04 and 3,470.48 is: 5,205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758 : 10,137.04 = 3,470.48 : x
  2. Step 2: Convert to fraction form
    6,758/10,137.04 = 3,470.48/x
  3. Step 3: Cross multiply
    6,758x = 10,137.04 × 3,470.48
  4. Step 4: Simplify right side
    6,758x = 35,180,394.58
  5. Step 5: Solve for x
    x = 35,180,394.58/6,758
  6. Step 6: Final answer
    x = 5,205.74

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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.