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Finding the Fourth Proportional to 22,508.21, 33,767.08 and 7,713.16

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Solution

The fourth proportional to 22,508.21, 33,767.08 and 7,713.16 is: 11,571.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,508.21 : 33,767.08 = 7,713.16 : x
  2. Step 2: Convert to fraction form
    22,508.21/33,767.08 = 7,713.16/x
  3. Step 3: Cross multiply
    22,508.21x = 33,767.08 × 7,713.16
  4. Step 4: Simplify right side
    22,508.21x = 260,450,787.07
  5. Step 5: Solve for x
    x = 260,450,787.07/22,508.21
  6. Step 6: Final answer
    x = 11,571.37

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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.