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Finding the Fourth Proportional to 6,759.52, 10,137.12 and 3,474.40

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Solution

The fourth proportional to 6,759.52, 10,137.12 and 3,474.40 is: 5,210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759.52 : 10,137.12 = 3,474.40 : x
  2. Step 2: Convert to fraction form
    6,759.52/10,137.12 = 3,474.40/x
  3. Step 3: Cross multiply
    6,759.52x = 10,137.12 × 3,474.40
  4. Step 4: Simplify right side
    6,759.52x = 35,220,409.73
  5. Step 5: Solve for x
    x = 35,220,409.73/6,759.52
  6. Step 6: Final answer
    x = 5,210.49

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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.