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Finding the Fourth Proportional to 22,563.73, 33,845.66 and 7,772.46

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Solution

The fourth proportional to 22,563.73, 33,845.66 and 7,772.46 is: 11,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.73 : 33,845.66 = 7,772.46 : x
  2. Step 2: Convert to fraction form
    22,563.73/33,845.66 = 7,772.46/x
  3. Step 3: Cross multiply
    22,563.73x = 33,845.66 × 7,772.46
  4. Step 4: Simplify right side
    22,563.73x = 263,064,038.52
  5. Step 5: Solve for x
    x = 263,064,038.52/22,563.73
  6. Step 6: Final answer
    x = 11,658.71

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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.