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Finding the Fourth Proportional to 22,562.92, 33,846.54 and 7,769.80

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Solution

The fourth proportional to 22,562.92, 33,846.54 and 7,769.80 is: 11,655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,562.92 : 33,846.54 = 7,769.80 : x
  2. Step 2: Convert to fraction form
    22,562.92/33,846.54 = 7,769.80/x
  3. Step 3: Cross multiply
    22,562.92x = 33,846.54 × 7,769.80
  4. Step 4: Simplify right side
    22,562.92x = 262,980,846.49
  5. Step 5: Solve for x
    x = 262,980,846.49/22,562.92
  6. Step 6: Final answer
    x = 11,655.44

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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.