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Finding the Fourth Proportional to 6,819.81, 10,168.77 and 6,806.49

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Solution

The fourth proportional to 6,819.81, 10,168.77 and 6,806.49 is: 10,148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.81 : 10,168.77 = 6,806.49 : x
  2. Step 2: Convert to fraction form
    6,819.81/10,168.77 = 6,806.49/x
  3. Step 3: Cross multiply
    6,819.81x = 10,168.77 × 6,806.49
  4. Step 4: Simplify right side
    6,819.81x = 69,213,631.32
  5. Step 5: Solve for x
    x = 69,213,631.32/6,819.81
  6. Step 6: Final answer
    x = 10,148.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.