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Finding the Fourth Proportional to 22,282.78, 33,389.01 and 8,223.46

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Solution

The fourth proportional to 22,282.78, 33,389.01 and 8,223.46 is: 12,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,282.78 : 33,389.01 = 8,223.46 : x
  2. Step 2: Convert to fraction form
    22,282.78/33,389.01 = 8,223.46/x
  3. Step 3: Cross multiply
    22,282.78x = 33,389.01 × 8,223.46
  4. Step 4: Simplify right side
    22,282.78x = 274,573,188.17
  5. Step 5: Solve for x
    x = 274,573,188.17/22,282.78
  6. Step 6: Final answer
    x = 12,322.21

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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.