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Finding the Fourth Proportional to 11,626.80, 17,478.92 and 9,450.80

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Solution

The fourth proportional to 11,626.80, 17,478.92 and 9,450.80 is: 14,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.80 : 17,478.92 = 9,450.80 : x
  2. Step 2: Convert to fraction form
    11,626.80/17,478.92 = 9,450.80/x
  3. Step 3: Cross multiply
    11,626.80x = 17,478.92 × 9,450.80
  4. Step 4: Simplify right side
    11,626.80x = 165,189,777.14
  5. Step 5: Solve for x
    x = 165,189,777.14/11,626.80
  6. Step 6: Final answer
    x = 14,207.67

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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.