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Finding the Fourth Proportional to 22,550.85, 33,826.32 and 7,759.94

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Solution

The fourth proportional to 22,550.85, 33,826.32 and 7,759.94 is: 11,639.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,550.85 : 33,826.32 = 7,759.94 : x
  2. Step 2: Convert to fraction form
    22,550.85/33,826.32 = 7,759.94/x
  3. Step 3: Cross multiply
    22,550.85x = 33,826.32 × 7,759.94
  4. Step 4: Simplify right side
    22,550.85x = 262,490,044.49
  5. Step 5: Solve for x
    x = 262,490,044.49/22,550.85
  6. Step 6: Final answer
    x = 11,639.92

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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.