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Finding the Fourth Proportional to 16,224, 22,392.36 and 9,150.54

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Solution

The fourth proportional to 16,224, 22,392.36 and 9,150.54 is: 12,629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224 : 22,392.36 = 9,150.54 : x
  2. Step 2: Convert to fraction form
    16,224/22,392.36 = 9,150.54/x
  3. Step 3: Cross multiply
    16,224x = 22,392.36 × 9,150.54
  4. Step 4: Simplify right side
    16,224x = 204,902,185.87
  5. Step 5: Solve for x
    x = 204,902,185.87/16,224
  6. Step 6: Final answer
    x = 12,629.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.