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Finding the Fourth Proportional to 7,744.66, 10,696.44 and 5,222.44

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Solution

The fourth proportional to 7,744.66, 10,696.44 and 5,222.44 is: 7,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.66 : 10,696.44 = 5,222.44 : x
  2. Step 2: Convert to fraction form
    7,744.66/10,696.44 = 5,222.44/x
  3. Step 3: Cross multiply
    7,744.66x = 10,696.44 × 5,222.44
  4. Step 4: Simplify right side
    7,744.66x = 55,861,516.11
  5. Step 5: Solve for x
    x = 55,861,516.11/7,744.66
  6. Step 6: Final answer
    x = 7,212.91

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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.