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Finding the Fourth Proportional to 22,585.83, 33,884.13 and 7,794.88

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Solution

The fourth proportional to 22,585.83, 33,884.13 and 7,794.88 is: 11,694.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,585.83 : 33,884.13 = 7,794.88 : x
  2. Step 2: Convert to fraction form
    22,585.83/33,884.13 = 7,794.88/x
  3. Step 3: Cross multiply
    22,585.83x = 33,884.13 × 7,794.88
  4. Step 4: Simplify right side
    22,585.83x = 264,122,538.35
  5. Step 5: Solve for x
    x = 264,122,538.35/22,585.83
  6. Step 6: Final answer
    x = 11,694.17

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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.