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Finding the Fourth Proportional to 6,794, 10,194.09 and 4,026.14

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Solution

The fourth proportional to 6,794, 10,194.09 and 4,026.14 is: 6,041.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794 : 10,194.09 = 4,026.14 : x
  2. Step 2: Convert to fraction form
    6,794/10,194.09 = 4,026.14/x
  3. Step 3: Cross multiply
    6,794x = 10,194.09 × 4,026.14
  4. Step 4: Simplify right side
    6,794x = 41,042,833.51
  5. Step 5: Solve for x
    x = 41,042,833.51/6,794
  6. Step 6: Final answer
    x = 6,041.04

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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.