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Finding the Fourth Proportional to 5,967, 8,234.46 and 4,107.24

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Solution

The fourth proportional to 5,967, 8,234.46 and 4,107.24 is: 5,667.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967 : 8,234.46 = 4,107.24 : x
  2. Step 2: Convert to fraction form
    5,967/8,234.46 = 4,107.24/x
  3. Step 3: Cross multiply
    5,967x = 8,234.46 × 4,107.24
  4. Step 4: Simplify right side
    5,967x = 33,820,903.49
  5. Step 5: Solve for x
    x = 33,820,903.49/5,967
  6. Step 6: Final answer
    x = 5,667.99

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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.