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Finding the Fourth Proportional to 22,159.22, 33,238.22 and 7,166.30

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Solution

The fourth proportional to 22,159.22, 33,238.22 and 7,166.30 is: 10,749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,159.22 : 33,238.22 = 7,166.30 : x
  2. Step 2: Convert to fraction form
    22,159.22/33,238.22 = 7,166.30/x
  3. Step 3: Cross multiply
    22,159.22x = 33,238.22 × 7,166.30
  4. Step 4: Simplify right side
    22,159.22x = 238,194,853.96
  5. Step 5: Solve for x
    x = 238,194,853.96/22,159.22
  6. Step 6: Final answer
    x = 10,749.25

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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.