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Finding the Fourth Proportional to 11,954.37, 17,942.94 and 5,717.78

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Solution

The fourth proportional to 11,954.37, 17,942.94 and 5,717.78 is: 8,582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.37 : 17,942.94 = 5,717.78 : x
  2. Step 2: Convert to fraction form
    11,954.37/17,942.94 = 5,717.78/x
  3. Step 3: Cross multiply
    11,954.37x = 17,942.94 × 5,717.78
  4. Step 4: Simplify right side
    11,954.37x = 102,593,693.76
  5. Step 5: Solve for x
    x = 102,593,693.76/11,954.37
  6. Step 6: Final answer
    x = 8,582.11

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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.