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Finding the Fourth Proportional to 8,286.63, 11,434.91 and 4,749.09

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Solution

The fourth proportional to 8,286.63, 11,434.91 and 4,749.09 is: 6,553.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.63 : 11,434.91 = 4,749.09 : x
  2. Step 2: Convert to fraction form
    8,286.63/11,434.91 = 4,749.09/x
  3. Step 3: Cross multiply
    8,286.63x = 11,434.91 × 4,749.09
  4. Step 4: Simplify right side
    8,286.63x = 54,305,392.99
  5. Step 5: Solve for x
    x = 54,305,392.99/8,286.63
  6. Step 6: Final answer
    x = 6,553.37

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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.