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Finding the Fourth Proportional to 22,562.73, 33,844.16 and 7,771.46

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Solution

The fourth proportional to 22,562.73, 33,844.16 and 7,771.46 is: 11,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,562.73 : 33,844.16 = 7,771.46 : x
  2. Step 2: Convert to fraction form
    22,562.73/33,844.16 = 7,771.46/x
  3. Step 3: Cross multiply
    22,562.73x = 33,844.16 × 7,771.46
  4. Step 4: Simplify right side
    22,562.73x = 263,018,385.88
  5. Step 5: Solve for x
    x = 263,018,385.88/22,562.73
  6. Step 6: Final answer
    x = 11,657.21

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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.