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Finding the Fourth Proportional to 16,286.40, 24,424.80 and 6,422.40

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Solution

The fourth proportional to 16,286.40, 24,424.80 and 6,422.40 is: 9,631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.40 : 24,424.80 = 6,422.40 : x
  2. Step 2: Convert to fraction form
    16,286.40/24,424.80 = 6,422.40/x
  3. Step 3: Cross multiply
    16,286.40x = 24,424.80 × 6,422.40
  4. Step 4: Simplify right side
    16,286.40x = 156,865,835.52
  5. Step 5: Solve for x
    x = 156,865,835.52/16,286.40
  6. Step 6: Final answer
    x = 9,631.71

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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.