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Finding the Fourth Proportional to 7,228.92, 10,843.42 and 2,231.22

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Solution

The fourth proportional to 7,228.92, 10,843.42 and 2,231.22 is: 3,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.92 : 10,843.42 = 2,231.22 : x
  2. Step 2: Convert to fraction form
    7,228.92/10,843.42 = 2,231.22/x
  3. Step 3: Cross multiply
    7,228.92x = 10,843.42 × 2,231.22
  4. Step 4: Simplify right side
    7,228.92x = 24,194,055.57
  5. Step 5: Solve for x
    x = 24,194,055.57/7,228.92
  6. Step 6: Final answer
    x = 3,346.84

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Double scale
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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.