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Finding the Fourth Proportional to 9,609.20, 14,446.20 and 8,183.60

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Solution

The fourth proportional to 9,609.20, 14,446.20 and 8,183.60 is: 12,302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.20 : 14,446.20 = 8,183.60 : x
  2. Step 2: Convert to fraction form
    9,609.20/14,446.20 = 8,183.60/x
  3. Step 3: Cross multiply
    9,609.20x = 14,446.20 × 8,183.60
  4. Step 4: Simplify right side
    9,609.20x = 118,221,922.32
  5. Step 5: Solve for x
    x = 118,221,922.32/9,609.20
  6. Step 6: Final answer
    x = 12,302.99

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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.