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Finding the Fourth Proportional to 6,648.54, 9,978.93 and 3,363.95

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Solution

The fourth proportional to 6,648.54, 9,978.93 and 3,363.95 is: 5,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.54 : 9,978.93 = 3,363.95 : x
  2. Step 2: Convert to fraction form
    6,648.54/9,978.93 = 3,363.95/x
  3. Step 3: Cross multiply
    6,648.54x = 9,978.93 × 3,363.95
  4. Step 4: Simplify right side
    6,648.54x = 33,568,571.68
  5. Step 5: Solve for x
    x = 33,568,571.68/6,648.54
  6. Step 6: Final answer
    x = 5,049.01

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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.