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Finding the Fourth Proportional to 9,221.74, 12,725.62 and 5,446.12

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Solution

The fourth proportional to 9,221.74, 12,725.62 and 5,446.12 is: 7,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.74 : 12,725.62 = 5,446.12 : x
  2. Step 2: Convert to fraction form
    9,221.74/12,725.62 = 5,446.12/x
  3. Step 3: Cross multiply
    9,221.74x = 12,725.62 × 5,446.12
  4. Step 4: Simplify right side
    9,221.74x = 69,305,262.66
  5. Step 5: Solve for x
    x = 69,305,262.66/9,221.74
  6. Step 6: Final answer
    x = 7,515.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.