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Finding the Fourth Proportional to 5,996.30, 8,274.30 and 3,343.82

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Solution

The fourth proportional to 5,996.30, 8,274.30 and 3,343.82 is: 4,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.30 : 8,274.30 = 3,343.82 : x
  2. Step 2: Convert to fraction form
    5,996.30/8,274.30 = 3,343.82/x
  3. Step 3: Cross multiply
    5,996.30x = 8,274.30 × 3,343.82
  4. Step 4: Simplify right side
    5,996.30x = 27,667,769.83
  5. Step 5: Solve for x
    x = 27,667,769.83/5,996.30
  6. Step 6: Final answer
    x = 4,614.14

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Half scale
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Double scale
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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.