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Finding the Fourth Proportional to 8,906.82, 13,354.01 and 3,906.80

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Solution

The fourth proportional to 8,906.82, 13,354.01 and 3,906.80 is: 5,857.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.82 : 13,354.01 = 3,906.80 : x
  2. Step 2: Convert to fraction form
    8,906.82/13,354.01 = 3,906.80/x
  3. Step 3: Cross multiply
    8,906.82x = 13,354.01 × 3,906.80
  4. Step 4: Simplify right side
    8,906.82x = 52,171,359.96
  5. Step 5: Solve for x
    x = 52,171,359.96/8,906.82
  6. Step 6: Final answer
    x = 5,857.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.