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Finding the Fourth Proportional to 5,951.81, 8,213.50 and 3,299.63

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Solution

The fourth proportional to 5,951.81, 8,213.50 and 3,299.63 is: 4,553.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.81 : 8,213.50 = 3,299.63 : x
  2. Step 2: Convert to fraction form
    5,951.81/8,213.50 = 3,299.63/x
  3. Step 3: Cross multiply
    5,951.81x = 8,213.50 × 3,299.63
  4. Step 4: Simplify right side
    5,951.81x = 27,101,474.06
  5. Step 5: Solve for x
    x = 27,101,474.06/5,951.81
  6. Step 6: Final answer
    x = 4,553.48

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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.