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Finding the Fourth Proportional to 10,961.73, 16,454.21 and 8,906.54

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Solution

The fourth proportional to 10,961.73, 16,454.21 and 8,906.54 is: 13,369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.73 : 16,454.21 = 8,906.54 : x
  2. Step 2: Convert to fraction form
    10,961.73/16,454.21 = 8,906.54/x
  3. Step 3: Cross multiply
    10,961.73x = 16,454.21 × 8,906.54
  4. Step 4: Simplify right side
    10,961.73x = 146,549,952.73
  5. Step 5: Solve for x
    x = 146,549,952.73/10,961.73
  6. Step 6: Final answer
    x = 13,369.24

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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.