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Finding the Fourth Proportional to 6,322.62, 9,485.37 and 1,940.70

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Solution

The fourth proportional to 6,322.62, 9,485.37 and 1,940.70 is: 2,911.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.62 : 9,485.37 = 1,940.70 : x
  2. Step 2: Convert to fraction form
    6,322.62/9,485.37 = 1,940.70/x
  3. Step 3: Cross multiply
    6,322.62x = 9,485.37 × 1,940.70
  4. Step 4: Simplify right side
    6,322.62x = 18,408,257.56
  5. Step 5: Solve for x
    x = 18,408,257.56/6,322.62
  6. Step 6: Final answer
    x = 2,911.49

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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.