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Finding the Fourth Proportional to 6,797.52, 10,197.36 and 3,334.50

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Solution

The fourth proportional to 6,797.52, 10,197.36 and 3,334.50 is: 5,002.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.52 : 10,197.36 = 3,334.50 : x
  2. Step 2: Convert to fraction form
    6,797.52/10,197.36 = 3,334.50/x
  3. Step 3: Cross multiply
    6,797.52x = 10,197.36 × 3,334.50
  4. Step 4: Simplify right side
    6,797.52x = 34,003,096.92
  5. Step 5: Solve for x
    x = 34,003,096.92/6,797.52
  6. Step 6: Final answer
    x = 5,002.28

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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.