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Finding the Fourth Proportional to 27,714.12, 41,571.92 and 9,946.09

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Solution

The fourth proportional to 27,714.12, 41,571.92 and 9,946.09 is: 14,919.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714.12 : 41,571.92 = 9,946.09 : x
  2. Step 2: Convert to fraction form
    27,714.12/41,571.92 = 9,946.09/x
  3. Step 3: Cross multiply
    27,714.12x = 41,571.92 × 9,946.09
  4. Step 4: Simplify right side
    27,714.12x = 413,478,057.79
  5. Step 5: Solve for x
    x = 413,478,057.79/27,714.12
  6. Step 6: Final answer
    x = 14,919.40

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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.