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Finding the Fourth Proportional to 6,794, 10,193.88 and 3,670.32

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Solution

The fourth proportional to 6,794, 10,193.88 and 3,670.32 is: 5,507.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794 : 10,193.88 = 3,670.32 : x
  2. Step 2: Convert to fraction form
    6,794/10,193.88 = 3,670.32/x
  3. Step 3: Cross multiply
    6,794x = 10,193.88 × 3,670.32
  4. Step 4: Simplify right side
    6,794x = 37,414,801.64
  5. Step 5: Solve for x
    x = 37,414,801.64/6,794
  6. Step 6: Final answer
    x = 5,507.04

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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.