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Finding the Fourth Proportional to 6,635.98, 9,956.13 and 3,173.50

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Solution

The fourth proportional to 6,635.98, 9,956.13 and 3,173.50 is: 4,761.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.98 : 9,956.13 = 3,173.50 : x
  2. Step 2: Convert to fraction form
    6,635.98/9,956.13 = 3,173.50/x
  3. Step 3: Cross multiply
    6,635.98x = 9,956.13 × 3,173.50
  4. Step 4: Simplify right side
    6,635.98x = 31,595,778.56
  5. Step 5: Solve for x
    x = 31,595,778.56/6,635.98
  6. Step 6: Final answer
    x = 4,761.28

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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.