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Finding the Fourth Proportional to 16,755, 25,133.16 and 5,662.80

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Solution

The fourth proportional to 16,755, 25,133.16 and 5,662.80 is: 8,494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,755 : 25,133.16 = 5,662.80 : x
  2. Step 2: Convert to fraction form
    16,755/25,133.16 = 5,662.80/x
  3. Step 3: Cross multiply
    16,755x = 25,133.16 × 5,662.80
  4. Step 4: Simplify right side
    16,755x = 142,324,058.45
  5. Step 5: Solve for x
    x = 142,324,058.45/16,755
  6. Step 6: Final answer
    x = 8,494.42

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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.