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Finding the Fourth Proportional to 31,997.25, 47,995.74 and 9,809.64

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Solution

The fourth proportional to 31,997.25, 47,995.74 and 9,809.64 is: 14,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,997.25 : 47,995.74 = 9,809.64 : x
  2. Step 2: Convert to fraction form
    31,997.25/47,995.74 = 9,809.64/x
  3. Step 3: Cross multiply
    31,997.25x = 47,995.74 × 9,809.64
  4. Step 4: Simplify right side
    31,997.25x = 470,820,930.93
  5. Step 5: Solve for x
    x = 470,820,930.93/31,997.25
  6. Step 6: Final answer
    x = 14,714.42

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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.