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Finding the Fourth Proportional to 9,101.92, 13,656.17 and 3,179.68

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Solution

The fourth proportional to 9,101.92, 13,656.17 and 3,179.68 is: 4,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.92 : 13,656.17 = 3,179.68 : x
  2. Step 2: Convert to fraction form
    9,101.92/13,656.17 = 3,179.68/x
  3. Step 3: Cross multiply
    9,101.92x = 13,656.17 × 3,179.68
  4. Step 4: Simplify right side
    9,101.92x = 43,422,234.73
  5. Step 5: Solve for x
    x = 43,422,234.73/9,101.92
  6. Step 6: Final answer
    x = 4,770.67

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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.