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Finding the Fourth Proportional to 22,616.49, 33,927.81 and 7,821.44

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Solution

The fourth proportional to 22,616.49, 33,927.81 and 7,821.44 is: 11,733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.49 : 33,927.81 = 7,821.44 : x
  2. Step 2: Convert to fraction form
    22,616.49/33,927.81 = 7,821.44/x
  3. Step 3: Cross multiply
    22,616.49x = 33,927.81 × 7,821.44
  4. Step 4: Simplify right side
    22,616.49x = 265,364,160.61
  5. Step 5: Solve for x
    x = 265,364,160.61/22,616.49
  6. Step 6: Final answer
    x = 11,733.22

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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.