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Finding the Fourth Proportional to 22,144.64, 33,208.32 and 9,668.48

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Solution

The fourth proportional to 22,144.64, 33,208.32 and 9,668.48 is: 14,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,144.64 : 33,208.32 = 9,668.48 : x
  2. Step 2: Convert to fraction form
    22,144.64/33,208.32 = 9,668.48/x
  3. Step 3: Cross multiply
    22,144.64x = 33,208.32 × 9,668.48
  4. Step 4: Simplify right side
    22,144.64x = 321,073,977.75
  5. Step 5: Solve for x
    x = 321,073,977.75/22,144.64
  6. Step 6: Final answer
    x = 14,498.95

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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.