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Finding the Fourth Proportional to 11,596.20, 17,419.90 and 8,140.20

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Solution

The fourth proportional to 11,596.20, 17,419.90 and 8,140.20 is: 12,228.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.20 : 17,419.90 = 8,140.20 : x
  2. Step 2: Convert to fraction form
    11,596.20/17,419.90 = 8,140.20/x
  3. Step 3: Cross multiply
    11,596.20x = 17,419.90 × 8,140.20
  4. Step 4: Simplify right side
    11,596.20x = 141,801,469.98
  5. Step 5: Solve for x
    x = 141,801,469.98/11,596.20
  6. Step 6: Final answer
    x = 12,228.27

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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.