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Finding the Fourth Proportional to 22,416.64, 33,624.90 and 6,834.26

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Solution

The fourth proportional to 22,416.64, 33,624.90 and 6,834.26 is: 10,251.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,416.64 : 33,624.90 = 6,834.26 : x
  2. Step 2: Convert to fraction form
    22,416.64/33,624.90 = 6,834.26/x
  3. Step 3: Cross multiply
    22,416.64x = 33,624.90 × 6,834.26
  4. Step 4: Simplify right side
    22,416.64x = 229,801,309.07
  5. Step 5: Solve for x
    x = 229,801,309.07/22,416.64
  6. Step 6: Final answer
    x = 10,251.37

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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.