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Finding the Fourth Proportional to 22,627.64, 33,932.36 and 6,827.78

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Solution

The fourth proportional to 22,627.64, 33,932.36 and 6,827.78 is: 10,238.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,627.64 : 33,932.36 = 6,827.78 : x
  2. Step 2: Convert to fraction form
    22,627.64/33,932.36 = 6,827.78/x
  3. Step 3: Cross multiply
    22,627.64x = 33,932.36 × 6,827.78
  4. Step 4: Simplify right side
    22,627.64x = 231,682,688.96
  5. Step 5: Solve for x
    x = 231,682,688.96/22,627.64
  6. Step 6: Final answer
    x = 10,238.92

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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.