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Finding the Fourth Proportional to 22,649.33, 33,960.69 and 6,849.60

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Solution

The fourth proportional to 22,649.33, 33,960.69 and 6,849.60 is: 10,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.33 : 33,960.69 = 6,849.60 : x
  2. Step 2: Convert to fraction form
    22,649.33/33,960.69 = 6,849.60/x
  3. Step 3: Cross multiply
    22,649.33x = 33,960.69 × 6,849.60
  4. Step 4: Simplify right side
    22,649.33x = 232,617,142.22
  5. Step 5: Solve for x
    x = 232,617,142.22/22,649.33
  6. Step 6: Final answer
    x = 10,270.38

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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.