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Finding the Fourth Proportional to 16,771, 23,138.09 and 10,058.80

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Solution

The fourth proportional to 16,771, 23,138.09 and 10,058.80 is: 13,877.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,771 : 23,138.09 = 10,058.80 : x
  2. Step 2: Convert to fraction form
    16,771/23,138.09 = 10,058.80/x
  3. Step 3: Cross multiply
    16,771x = 23,138.09 × 10,058.80
  4. Step 4: Simplify right side
    16,771x = 232,741,369.40
  5. Step 5: Solve for x
    x = 232,741,369.40/16,771
  6. Step 6: Final answer
    x = 13,877.61

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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.