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Finding the Fourth Proportional to 22,564.31, 33,846.08 and 7,772.90

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Solution

The fourth proportional to 22,564.31, 33,846.08 and 7,772.90 is: 11,659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.31 : 33,846.08 = 7,772.90 : x
  2. Step 2: Convert to fraction form
    22,564.31/33,846.08 = 7,772.90/x
  3. Step 3: Cross multiply
    22,564.31x = 33,846.08 × 7,772.90
  4. Step 4: Simplify right side
    22,564.31x = 263,081,987.14
  5. Step 5: Solve for x
    x = 263,081,987.14/22,564.31
  6. Step 6: Final answer
    x = 11,659.21

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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.