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Finding the Fourth Proportional to 22,509.15, 33,734.49 and 9,166.59

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Solution

The fourth proportional to 22,509.15, 33,734.49 and 9,166.59 is: 13,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.15 : 33,734.49 = 9,166.59 : x
  2. Step 2: Convert to fraction form
    22,509.15/33,734.49 = 9,166.59/x
  3. Step 3: Cross multiply
    22,509.15x = 33,734.49 × 9,166.59
  4. Step 4: Simplify right side
    22,509.15x = 309,230,238.69
  5. Step 5: Solve for x
    x = 309,230,238.69/22,509.15
  6. Step 6: Final answer
    x = 13,737.98

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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.