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Finding the Fourth Proportional to 9,847.53, 14,772.21 and 3,922.98

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Solution

The fourth proportional to 9,847.53, 14,772.21 and 3,922.98 is: 5,884.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.53 : 14,772.21 = 3,922.98 : x
  2. Step 2: Convert to fraction form
    9,847.53/14,772.21 = 3,922.98/x
  3. Step 3: Cross multiply
    9,847.53x = 14,772.21 × 3,922.98
  4. Step 4: Simplify right side
    9,847.53x = 57,951,084.39
  5. Step 5: Solve for x
    x = 57,951,084.39/9,847.53
  6. Step 6: Final answer
    x = 5,884.83

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1.5x scale

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.