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Finding the Fourth Proportional to 8,624.25, 12,936.42 and 2,468.25

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Solution

The fourth proportional to 8,624.25, 12,936.42 and 2,468.25 is: 3,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.25 : 12,936.42 = 2,468.25 : x
  2. Step 2: Convert to fraction form
    8,624.25/12,936.42 = 2,468.25/x
  3. Step 3: Cross multiply
    8,624.25x = 12,936.42 × 2,468.25
  4. Step 4: Simplify right side
    8,624.25x = 31,930,318.67
  5. Step 5: Solve for x
    x = 31,930,318.67/8,624.25
  6. Step 6: Final answer
    x = 3,702.39

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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.