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Finding the Fourth Proportional to 6,139.50, 9,213.06 and 2,244.24

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Solution

The fourth proportional to 6,139.50, 9,213.06 and 2,244.24 is: 3,367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.50 : 9,213.06 = 2,244.24 : x
  2. Step 2: Convert to fraction form
    6,139.50/9,213.06 = 2,244.24/x
  3. Step 3: Cross multiply
    6,139.50x = 9,213.06 × 2,244.24
  4. Step 4: Simplify right side
    6,139.50x = 20,676,317.77
  5. Step 5: Solve for x
    x = 20,676,317.77/6,139.50
  6. Step 6: Final answer
    x = 3,367.75

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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.