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Finding the Fourth Proportional to 7,286.94, 10,930.47 and 3,394.14

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Solution

The fourth proportional to 7,286.94, 10,930.47 and 3,394.14 is: 5,091.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.94 : 10,930.47 = 3,394.14 : x
  2. Step 2: Convert to fraction form
    7,286.94/10,930.47 = 3,394.14/x
  3. Step 3: Cross multiply
    7,286.94x = 10,930.47 × 3,394.14
  4. Step 4: Simplify right side
    7,286.94x = 37,099,545.45
  5. Step 5: Solve for x
    x = 37,099,545.45/7,286.94
  6. Step 6: Final answer
    x = 5,091.24

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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.