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Finding the Fourth Proportional to 6,819.32, 9,410.46 and 4,166.48

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Solution

The fourth proportional to 6,819.32, 9,410.46 and 4,166.48 is: 5,749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.32 : 9,410.46 = 4,166.48 : x
  2. Step 2: Convert to fraction form
    6,819.32/9,410.46 = 4,166.48/x
  3. Step 3: Cross multiply
    6,819.32x = 9,410.46 × 4,166.48
  4. Step 4: Simplify right side
    6,819.32x = 39,208,493.38
  5. Step 5: Solve for x
    x = 39,208,493.38/6,819.32
  6. Step 6: Final answer
    x = 5,749.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.