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Finding the Fourth Proportional to 16,197.76, 24,286.24 and 6,835.22

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Solution

The fourth proportional to 16,197.76, 24,286.24 and 6,835.22 is: 10,248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197.76 : 24,286.24 = 6,835.22 : x
  2. Step 2: Convert to fraction form
    16,197.76/24,286.24 = 6,835.22/x
  3. Step 3: Cross multiply
    16,197.76x = 24,286.24 × 6,835.22
  4. Step 4: Simplify right side
    16,197.76x = 166,001,771.56
  5. Step 5: Solve for x
    x = 166,001,771.56/16,197.76
  6. Step 6: Final answer
    x = 10,248.44

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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.