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Finding the Fourth Proportional to 22,009.25, 33,016.49 and 7,975.91

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Solution

The fourth proportional to 22,009.25, 33,016.49 and 7,975.91 is: 11,964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,009.25 : 33,016.49 = 7,975.91 : x
  2. Step 2: Convert to fraction form
    22,009.25/33,016.49 = 7,975.91/x
  3. Step 3: Cross multiply
    22,009.25x = 33,016.49 × 7,975.91
  4. Step 4: Simplify right side
    22,009.25x = 263,336,347.79
  5. Step 5: Solve for x
    x = 263,336,347.79/22,009.25
  6. Step 6: Final answer
    x = 11,964.81

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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.