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Finding the Fourth Proportional to 6,291.98, 9,438.05 and 2,733.28

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Solution

The fourth proportional to 6,291.98, 9,438.05 and 2,733.28 is: 4,099.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.98 : 9,438.05 = 2,733.28 : x
  2. Step 2: Convert to fraction form
    6,291.98/9,438.05 = 2,733.28/x
  3. Step 3: Cross multiply
    6,291.98x = 9,438.05 × 2,733.28
  4. Step 4: Simplify right side
    6,291.98x = 25,796,816.54
  5. Step 5: Solve for x
    x = 25,796,816.54/6,291.98
  6. Step 6: Final answer
    x = 4,099.95

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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.