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Finding the Fourth Proportional to 6,794.57, 10,190.17 and 3,834.32

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Solution

The fourth proportional to 6,794.57, 10,190.17 and 3,834.32 is: 5,750.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.57 : 10,190.17 = 3,834.32 : x
  2. Step 2: Convert to fraction form
    6,794.57/10,190.17 = 3,834.32/x
  3. Step 3: Cross multiply
    6,794.57x = 10,190.17 × 3,834.32
  4. Step 4: Simplify right side
    6,794.57x = 39,072,326.48
  5. Step 5: Solve for x
    x = 39,072,326.48/6,794.57
  6. Step 6: Final answer
    x = 5,750.52

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1.5x scale

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.