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Finding the Fourth Proportional to 22,616.30, 33,929.10 and 7,823.27

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Solution

The fourth proportional to 22,616.30, 33,929.10 and 7,823.27 is: 11,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.30 : 33,929.10 = 7,823.27 : x
  2. Step 2: Convert to fraction form
    22,616.30/33,929.10 = 7,823.27/x
  3. Step 3: Cross multiply
    22,616.30x = 33,929.10 × 7,823.27
  4. Step 4: Simplify right side
    22,616.30x = 265,436,340.51
  5. Step 5: Solve for x
    x = 265,436,340.51/22,616.30
  6. Step 6: Final answer
    x = 11,736.51

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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.