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Finding the Fourth Proportional to 4,922.27, 7,383.42 and 1,224.50

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Solution

The fourth proportional to 4,922.27, 7,383.42 and 1,224.50 is: 1,836.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.27 : 7,383.42 = 1,224.50 : x
  2. Step 2: Convert to fraction form
    4,922.27/7,383.42 = 1,224.50/x
  3. Step 3: Cross multiply
    4,922.27x = 7,383.42 × 1,224.50
  4. Step 4: Simplify right side
    4,922.27x = 9,041,028.39
  5. Step 5: Solve for x
    x = 9,041,028.39/4,922.27
  6. Step 6: Final answer
    x = 1,836.76

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Similar ratio
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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.