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Finding the Fourth Proportional to 6,228.44, 9,336.16 and 2,717.50

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Solution

The fourth proportional to 6,228.44, 9,336.16 and 2,717.50 is: 4,073.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.44 : 9,336.16 = 2,717.50 : x
  2. Step 2: Convert to fraction form
    6,228.44/9,336.16 = 2,717.50/x
  3. Step 3: Cross multiply
    6,228.44x = 9,336.16 × 2,717.50
  4. Step 4: Simplify right side
    6,228.44x = 25,371,014.80
  5. Step 5: Solve for x
    x = 25,371,014.80/6,228.44
  6. Step 6: Final answer
    x = 4,073.41

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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.