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Finding the Fourth Proportional to 22,409.75, 33,614.31 and 7,628.97

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Solution

The fourth proportional to 22,409.75, 33,614.31 and 7,628.97 is: 11,443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,409.75 : 33,614.31 = 7,628.97 : x
  2. Step 2: Convert to fraction form
    22,409.75/33,614.31 = 7,628.97/x
  3. Step 3: Cross multiply
    22,409.75x = 33,614.31 × 7,628.97
  4. Step 4: Simplify right side
    22,409.75x = 256,442,465.12
  5. Step 5: Solve for x
    x = 256,442,465.12/22,409.75
  6. Step 6: Final answer
    x = 11,443.35

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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.