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Finding the Fourth Proportional to 24,400.80, 36,601.12 and 7,984.80

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Solution

The fourth proportional to 24,400.80, 36,601.12 and 7,984.80 is: 11,977.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,400.80 : 36,601.12 = 7,984.80 : x
  2. Step 2: Convert to fraction form
    24,400.80/36,601.12 = 7,984.80/x
  3. Step 3: Cross multiply
    24,400.80x = 36,601.12 × 7,984.80
  4. Step 4: Simplify right side
    24,400.80x = 292,252,622.98
  5. Step 5: Solve for x
    x = 292,252,622.98/24,400.80
  6. Step 6: Final answer
    x = 11,977.17

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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.