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Finding the Fourth Proportional to 6,873.66, 10,304.28 and 4,234.68

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Solution

The fourth proportional to 6,873.66, 10,304.28 and 4,234.68 is: 6,348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.66 : 10,304.28 = 4,234.68 : x
  2. Step 2: Convert to fraction form
    6,873.66/10,304.28 = 4,234.68/x
  3. Step 3: Cross multiply
    6,873.66x = 10,304.28 × 4,234.68
  4. Step 4: Simplify right side
    6,873.66x = 43,635,328.43
  5. Step 5: Solve for x
    x = 43,635,328.43/6,873.66
  6. Step 6: Final answer
    x = 6,348.19

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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.