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Finding the Fourth Proportional to 22,446.57, 33,669.86 and 6,864.06

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Solution

The fourth proportional to 22,446.57, 33,669.86 and 6,864.06 is: 10,296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,446.57 : 33,669.86 = 6,864.06 : x
  2. Step 2: Convert to fraction form
    22,446.57/33,669.86 = 6,864.06/x
  3. Step 3: Cross multiply
    22,446.57x = 33,669.86 × 6,864.06
  4. Step 4: Simplify right side
    22,446.57x = 231,111,939.23
  5. Step 5: Solve for x
    x = 231,111,939.23/22,446.57
  6. Step 6: Final answer
    x = 10,296.09

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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.