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Finding the Fourth Proportional to 7,144.92, 10,717.46 and 1,950.80

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Solution

The fourth proportional to 7,144.92, 10,717.46 and 1,950.80 is: 2,926.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.92 : 10,717.46 = 1,950.80 : x
  2. Step 2: Convert to fraction form
    7,144.92/10,717.46 = 1,950.80/x
  3. Step 3: Cross multiply
    7,144.92x = 10,717.46 × 1,950.80
  4. Step 4: Simplify right side
    7,144.92x = 20,907,620.97
  5. Step 5: Solve for x
    x = 20,907,620.97/7,144.92
  6. Step 6: Final answer
    x = 2,926.22

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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.