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Finding the Fourth Proportional to 6,819.38, 9,411.13 and 4,546.80

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Solution

The fourth proportional to 6,819.38, 9,411.13 and 4,546.80 is: 6,274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.38 : 9,411.13 = 4,546.80 : x
  2. Step 2: Convert to fraction form
    6,819.38/9,411.13 = 4,546.80/x
  3. Step 3: Cross multiply
    6,819.38x = 9,411.13 × 4,546.80
  4. Step 4: Simplify right side
    6,819.38x = 42,790,531.57
  5. Step 5: Solve for x
    x = 42,790,531.57/6,819.38
  6. Step 6: Final answer
    x = 6,274.84

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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.