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Finding the Fourth Proportional to 22,642.61, 33,963.98 and 7,851.33

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Solution

The fourth proportional to 22,642.61, 33,963.98 and 7,851.33 is: 11,777.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.61 : 33,963.98 = 7,851.33 : x
  2. Step 2: Convert to fraction form
    22,642.61/33,963.98 = 7,851.33/x
  3. Step 3: Cross multiply
    22,642.61x = 33,963.98 × 7,851.33
  4. Step 4: Simplify right side
    22,642.61x = 266,662,375.84
  5. Step 5: Solve for x
    x = 266,662,375.84/22,642.61
  6. Step 6: Final answer
    x = 11,777.02

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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.