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Finding the Fourth Proportional to 22,447.57, 33,671.36 and 6,865.06

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Solution

The fourth proportional to 22,447.57, 33,671.36 and 6,865.06 is: 10,297.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.57 : 33,671.36 = 6,865.06 : x
  2. Step 2: Convert to fraction form
    22,447.57/33,671.36 = 6,865.06/x
  3. Step 3: Cross multiply
    22,447.57x = 33,671.36 × 6,865.06
  4. Step 4: Simplify right side
    22,447.57x = 231,155,704.00
  5. Step 5: Solve for x
    x = 231,155,704.00/22,447.57
  6. Step 6: Final answer
    x = 10,297.58

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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.