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Finding the Fourth Proportional to 21,197.97, 31,797.09 and 7,343.73

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Solution

The fourth proportional to 21,197.97, 31,797.09 and 7,343.73 is: 11,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197.97 : 31,797.09 = 7,343.73 : x
  2. Step 2: Convert to fraction form
    21,197.97/31,797.09 = 7,343.73/x
  3. Step 3: Cross multiply
    21,197.97x = 31,797.09 × 7,343.73
  4. Step 4: Simplify right side
    21,197.97x = 233,509,243.75
  5. Step 5: Solve for x
    x = 233,509,243.75/21,197.97
  6. Step 6: Final answer
    x = 11,015.64

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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.