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Finding the Fourth Proportional to 6,302.19, 9,451.97 and 2,142.13

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Solution

The fourth proportional to 6,302.19, 9,451.97 and 2,142.13 is: 3,212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.19 : 9,451.97 = 2,142.13 : x
  2. Step 2: Convert to fraction form
    6,302.19/9,451.97 = 2,142.13/x
  3. Step 3: Cross multiply
    6,302.19x = 9,451.97 × 2,142.13
  4. Step 4: Simplify right side
    6,302.19x = 20,247,348.50
  5. Step 5: Solve for x
    x = 20,247,348.50/6,302.19
  6. Step 6: Final answer
    x = 3,212.75

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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.