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Finding the Fourth Proportional to 5,906.83, 8,813.97 and 5,286.27

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Solution

The fourth proportional to 5,906.83, 8,813.97 and 5,286.27 is: 7,887.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.83 : 8,813.97 = 5,286.27 : x
  2. Step 2: Convert to fraction form
    5,906.83/8,813.97 = 5,286.27/x
  3. Step 3: Cross multiply
    5,906.83x = 8,813.97 × 5,286.27
  4. Step 4: Simplify right side
    5,906.83x = 46,593,011.98
  5. Step 5: Solve for x
    x = 46,593,011.98/5,906.83
  6. Step 6: Final answer
    x = 7,887.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.