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Finding the Fourth Proportional to 12,772.32, 17,625.78 and 7,183.32

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Solution

The fourth proportional to 12,772.32, 17,625.78 and 7,183.32 is: 9,912.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.32 : 17,625.78 = 7,183.32 : x
  2. Step 2: Convert to fraction form
    12,772.32/17,625.78 = 7,183.32/x
  3. Step 3: Cross multiply
    12,772.32x = 17,625.78 × 7,183.32
  4. Step 4: Simplify right side
    12,772.32x = 126,611,617.99
  5. Step 5: Solve for x
    x = 126,611,617.99/12,772.32
  6. Step 6: Final answer
    x = 9,912.97

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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.