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Finding the Fourth Proportional to 22,342.97, 33,514.42 and 5,703

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Solution

The fourth proportional to 22,342.97, 33,514.42 and 5,703 is: 8,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,342.97 : 33,514.42 = 5,703 : x
  2. Step 2: Convert to fraction form
    22,342.97/33,514.42 = 5,703/x
  3. Step 3: Cross multiply
    22,342.97x = 33,514.42 × 5,703
  4. Step 4: Simplify right side
    22,342.97x = 191,132,737.26
  5. Step 5: Solve for x
    x = 191,132,737.26/22,342.97
  6. Step 6: Final answer
    x = 8,554.49

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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.