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Finding the Fourth Proportional to 11,201.96, 16,806.72 and 4,961.12

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Solution

The fourth proportional to 11,201.96, 16,806.72 and 4,961.12 is: 7,443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.96 : 16,806.72 = 4,961.12 : x
  2. Step 2: Convert to fraction form
    11,201.96/16,806.72 = 4,961.12/x
  3. Step 3: Cross multiply
    11,201.96x = 16,806.72 × 4,961.12
  4. Step 4: Simplify right side
    11,201.96x = 83,380,154.73
  5. Step 5: Solve for x
    x = 83,380,154.73/11,201.96
  6. Step 6: Final answer
    x = 7,443.35

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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.