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Finding the Fourth Proportional to 16,227, 22,393.44 and 9,057.60

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Solution

The fourth proportional to 16,227, 22,393.44 and 9,057.60 is: 12,499.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,227 : 22,393.44 = 9,057.60 : x
  2. Step 2: Convert to fraction form
    16,227/22,393.44 = 9,057.60/x
  3. Step 3: Cross multiply
    16,227x = 22,393.44 × 9,057.60
  4. Step 4: Simplify right side
    16,227x = 202,830,822.14
  5. Step 5: Solve for x
    x = 202,830,822.14/16,227
  6. Step 6: Final answer
    x = 12,499.59

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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.