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Finding the Fourth Proportional to 6,781.50, 9,354.38 and 4,481.89

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Solution

The fourth proportional to 6,781.50, 9,354.38 and 4,481.89 is: 6,182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.50 : 9,354.38 = 4,481.89 : x
  2. Step 2: Convert to fraction form
    6,781.50/9,354.38 = 4,481.89/x
  3. Step 3: Cross multiply
    6,781.50x = 9,354.38 × 4,481.89
  4. Step 4: Simplify right side
    6,781.50x = 41,925,314.36
  5. Step 5: Solve for x
    x = 41,925,314.36/6,781.50
  6. Step 6: Final answer
    x = 6,182.31

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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.