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Finding the Fourth Proportional to 22,473.78, 33,714.33 and 8,434.91

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Solution

The fourth proportional to 22,473.78, 33,714.33 and 8,434.91 is: 12,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,473.78 : 33,714.33 = 8,434.91 : x
  2. Step 2: Convert to fraction form
    22,473.78/33,714.33 = 8,434.91/x
  3. Step 3: Cross multiply
    22,473.78x = 33,714.33 × 8,434.91
  4. Step 4: Simplify right side
    22,473.78x = 284,377,297.09
  5. Step 5: Solve for x
    x = 284,377,297.09/22,473.78
  6. Step 6: Final answer
    x = 12,653.74

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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.