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Finding the Fourth Proportional to 24,714.97, 37,074.09 and 9,921.97

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Solution

The fourth proportional to 24,714.97, 37,074.09 and 9,921.97 is: 14,883.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714.97 : 37,074.09 = 9,921.97 : x
  2. Step 2: Convert to fraction form
    24,714.97/37,074.09 = 9,921.97/x
  3. Step 3: Cross multiply
    24,714.97x = 37,074.09 × 9,921.97
  4. Step 4: Simplify right side
    24,714.97x = 367,848,008.76
  5. Step 5: Solve for x
    x = 367,848,008.76/24,714.97
  6. Step 6: Final answer
    x = 14,883.61

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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.