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Finding the Fourth Proportional to 18,633.22, 27,949.84 and 4,782.22

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Solution

The fourth proportional to 18,633.22, 27,949.84 and 4,782.22 is: 7,173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,633.22 : 27,949.84 = 4,782.22 : x
  2. Step 2: Convert to fraction form
    18,633.22/27,949.84 = 4,782.22/x
  3. Step 3: Cross multiply
    18,633.22x = 27,949.84 × 4,782.22
  4. Step 4: Simplify right side
    18,633.22x = 133,662,283.84
  5. Step 5: Solve for x
    x = 133,662,283.84/18,633.22
  6. Step 6: Final answer
    x = 7,173.33

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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.