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Finding the Fourth Proportional to 16,197.64, 24,286.05 and 6,835.09

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Solution

The fourth proportional to 16,197.64, 24,286.05 and 6,835.09 is: 10,248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197.64 : 24,286.05 = 6,835.09 : x
  2. Step 2: Convert to fraction form
    16,197.64/24,286.05 = 6,835.09/x
  3. Step 3: Cross multiply
    16,197.64x = 24,286.05 × 6,835.09
  4. Step 4: Simplify right side
    16,197.64x = 165,997,337.49
  5. Step 5: Solve for x
    x = 165,997,337.49/16,197.64
  6. Step 6: Final answer
    x = 10,248.24

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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.