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Finding the Fourth Proportional to 15,197.83, 22,836.84 and 8,183.03

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Solution

The fourth proportional to 15,197.83, 22,836.84 and 8,183.03 is: 12,296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197.83 : 22,836.84 = 8,183.03 : x
  2. Step 2: Convert to fraction form
    15,197.83/22,836.84 = 8,183.03/x
  3. Step 3: Cross multiply
    15,197.83x = 22,836.84 × 8,183.03
  4. Step 4: Simplify right side
    15,197.83x = 186,874,505.91
  5. Step 5: Solve for x
    x = 186,874,505.91/15,197.83
  6. Step 6: Final answer
    x = 12,296.13

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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.