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Finding the Fourth Proportional to 9,759.92, 14,622.26 and 8,209.58

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Solution

The fourth proportional to 9,759.92, 14,622.26 and 8,209.58 is: 12,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.92 : 14,622.26 = 8,209.58 : x
  2. Step 2: Convert to fraction form
    9,759.92/14,622.26 = 8,209.58/x
  3. Step 3: Cross multiply
    9,759.92x = 14,622.26 × 8,209.58
  4. Step 4: Simplify right side
    9,759.92x = 120,042,499.09
  5. Step 5: Solve for x
    x = 120,042,499.09/9,759.92
  6. Step 6: Final answer
    x = 12,299.54

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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.