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Finding the Fourth Proportional to 11,771.52, 17,738.25 and 9,737.30

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Solution

The fourth proportional to 11,771.52, 17,738.25 and 9,737.30 is: 14,672.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.52 : 17,738.25 = 9,737.30 : x
  2. Step 2: Convert to fraction form
    11,771.52/17,738.25 = 9,737.30/x
  3. Step 3: Cross multiply
    11,771.52x = 17,738.25 × 9,737.30
  4. Step 4: Simplify right side
    11,771.52x = 172,722,661.73
  5. Step 5: Solve for x
    x = 172,722,661.73/11,771.52
  6. Step 6: Final answer
    x = 14,672.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.