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Finding the Fourth Proportional to 22,641.24, 33,963.66 and 7,844.16

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Solution

The fourth proportional to 22,641.24, 33,963.66 and 7,844.16 is: 11,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.24 : 33,963.66 = 7,844.16 : x
  2. Step 2: Convert to fraction form
    22,641.24/33,963.66 = 7,844.16/x
  3. Step 3: Cross multiply
    22,641.24x = 33,963.66 × 7,844.16
  4. Step 4: Simplify right side
    22,641.24x = 266,416,383.23
  5. Step 5: Solve for x
    x = 266,416,383.23/22,641.24
  6. Step 6: Final answer
    x = 11,766.86

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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.