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Finding the Fourth Proportional to 22,205.94, 33,311.16 and 7,409.58

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Solution

The fourth proportional to 22,205.94, 33,311.16 and 7,409.58 is: 11,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.94 : 33,311.16 = 7,409.58 : x
  2. Step 2: Convert to fraction form
    22,205.94/33,311.16 = 7,409.58/x
  3. Step 3: Cross multiply
    22,205.94x = 33,311.16 × 7,409.58
  4. Step 4: Simplify right side
    22,205.94x = 246,821,704.91
  5. Step 5: Solve for x
    x = 246,821,704.91/22,205.94
  6. Step 6: Final answer
    x = 11,115.12

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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.