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Finding the Fourth Proportional to 22,775.82, 34,164.64 and 7,193.44

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Solution

The fourth proportional to 22,775.82, 34,164.64 and 7,193.44 is: 10,790.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,775.82 : 34,164.64 = 7,193.44 : x
  2. Step 2: Convert to fraction form
    22,775.82/34,164.64 = 7,193.44/x
  3. Step 3: Cross multiply
    22,775.82x = 34,164.64 × 7,193.44
  4. Step 4: Simplify right side
    22,775.82x = 245,761,287.96
  5. Step 5: Solve for x
    x = 245,761,287.96/22,775.82
  6. Step 6: Final answer
    x = 10,790.45

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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.