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Finding the Fourth Proportional to 6,194.44, 9,291.94 and 1,812.27

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Solution

The fourth proportional to 6,194.44, 9,291.94 and 1,812.27 is: 2,718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.44 : 9,291.94 = 1,812.27 : x
  2. Step 2: Convert to fraction form
    6,194.44/9,291.94 = 1,812.27/x
  3. Step 3: Cross multiply
    6,194.44x = 9,291.94 × 1,812.27
  4. Step 4: Simplify right side
    6,194.44x = 16,839,499.57
  5. Step 5: Solve for x
    x = 16,839,499.57/6,194.44
  6. Step 6: Final answer
    x = 2,718.49

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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.