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Finding the Fourth Proportional to 6,481.56, 9,724.65 and 3,196.99

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Solution

The fourth proportional to 6,481.56, 9,724.65 and 3,196.99 is: 4,796.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.56 : 9,724.65 = 3,196.99 : x
  2. Step 2: Convert to fraction form
    6,481.56/9,724.65 = 3,196.99/x
  3. Step 3: Cross multiply
    6,481.56x = 9,724.65 × 3,196.99
  4. Step 4: Simplify right side
    6,481.56x = 31,089,608.80
  5. Step 5: Solve for x
    x = 31,089,608.80/6,481.56
  6. Step 6: Final answer
    x = 4,796.62

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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.