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Finding the Fourth Proportional to 24,644.80, 36,961.20 and 7,112.80

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Solution

The fourth proportional to 24,644.80, 36,961.20 and 7,112.80 is: 10,667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,644.80 : 36,961.20 = 7,112.80 : x
  2. Step 2: Convert to fraction form
    24,644.80/36,961.20 = 7,112.80/x
  3. Step 3: Cross multiply
    24,644.80x = 36,961.20 × 7,112.80
  4. Step 4: Simplify right side
    24,644.80x = 262,897,623.36
  5. Step 5: Solve for x
    x = 262,897,623.36/24,644.80
  6. Step 6: Final answer
    x = 10,667.47

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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.