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Finding the Fourth Proportional to 6,832, 9,426.54 and 3,847.24

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Solution

The fourth proportional to 6,832, 9,426.54 and 3,847.24 is: 5,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832 : 9,426.54 = 3,847.24 : x
  2. Step 2: Convert to fraction form
    6,832/9,426.54 = 3,847.24/x
  3. Step 3: Cross multiply
    6,832x = 9,426.54 × 3,847.24
  4. Step 4: Simplify right side
    6,832x = 36,266,161.75
  5. Step 5: Solve for x
    x = 36,266,161.75/6,832
  6. Step 6: Final answer
    x = 5,308.28

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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.