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Finding the Fourth Proportional to 6,194.43, 9,291.65 and 2,734.11

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Solution

The fourth proportional to 6,194.43, 9,291.65 and 2,734.11 is: 4,101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.43 : 9,291.65 = 2,734.11 : x
  2. Step 2: Convert to fraction form
    6,194.43/9,291.65 = 2,734.11/x
  3. Step 3: Cross multiply
    6,194.43x = 9,291.65 × 2,734.11
  4. Step 4: Simplify right side
    6,194.43x = 25,404,379.51
  5. Step 5: Solve for x
    x = 25,404,379.51/6,194.43
  6. Step 6: Final answer
    x = 4,101.17

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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.