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Finding the Fourth Proportional to 6,819.51, 10,230.43 and 2,138.62

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Solution

The fourth proportional to 6,819.51, 10,230.43 and 2,138.62 is: 3,208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.51 : 10,230.43 = 2,138.62 : x
  2. Step 2: Convert to fraction form
    6,819.51/10,230.43 = 2,138.62/x
  3. Step 3: Cross multiply
    6,819.51x = 10,230.43 × 2,138.62
  4. Step 4: Simplify right side
    6,819.51x = 21,879,002.21
  5. Step 5: Solve for x
    x = 21,879,002.21/6,819.51
  6. Step 6: Final answer
    x = 3,208.30

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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.