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Finding the Fourth Proportional to 12,773.80, 17,624.40 and 7,469.92

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Solution

The fourth proportional to 12,773.80, 17,624.40 and 7,469.92 is: 10,306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.80 : 17,624.40 = 7,469.92 : x
  2. Step 2: Convert to fraction form
    12,773.80/17,624.40 = 7,469.92/x
  3. Step 3: Cross multiply
    12,773.80x = 17,624.40 × 7,469.92
  4. Step 4: Simplify right side
    12,773.80x = 131,652,858.05
  5. Step 5: Solve for x
    x = 131,652,858.05/12,773.80
  6. Step 6: Final answer
    x = 10,306.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.