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Finding the Fourth Proportional to 22,647.89, 33,975.48 and 7,865.60

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Solution

The fourth proportional to 22,647.89, 33,975.48 and 7,865.60 is: 11,799.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.89 : 33,975.48 = 7,865.60 : x
  2. Step 2: Convert to fraction form
    22,647.89/33,975.48 = 7,865.60/x
  3. Step 3: Cross multiply
    22,647.89x = 33,975.48 × 7,865.60
  4. Step 4: Simplify right side
    22,647.89x = 267,237,365.61
  5. Step 5: Solve for x
    x = 267,237,365.61/22,647.89
  6. Step 6: Final answer
    x = 11,799.66

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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.