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Finding the Fourth Proportional to 22,446.35, 33,649 and 9,968.86

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Solution

The fourth proportional to 22,446.35, 33,649 and 9,968.86 is: 14,944.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,446.35 : 33,649 = 9,968.86 : x
  2. Step 2: Convert to fraction form
    22,446.35/33,649 = 9,968.86/x
  3. Step 3: Cross multiply
    22,446.35x = 33,649 × 9,968.86
  4. Step 4: Simplify right side
    22,446.35x = 335,442,170.14
  5. Step 5: Solve for x
    x = 335,442,170.14/22,446.35
  6. Step 6: Final answer
    x = 14,944.17

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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.