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Finding the Fourth Proportional to 22,465.75, 33,698.61 and 7,674.78

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Solution

The fourth proportional to 22,465.75, 33,698.61 and 7,674.78 is: 11,512.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465.75 : 33,698.61 = 7,674.78 : x
  2. Step 2: Convert to fraction form
    22,465.75/33,698.61 = 7,674.78/x
  3. Step 3: Cross multiply
    22,465.75x = 33,698.61 × 7,674.78
  4. Step 4: Simplify right side
    22,465.75x = 258,629,379.68
  5. Step 5: Solve for x
    x = 258,629,379.68/22,465.75
  6. Step 6: Final answer
    x = 11,512.16

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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.