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Finding the Fourth Proportional to 23,847.39, 35,771.07 and 8,265

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Solution

The fourth proportional to 23,847.39, 35,771.07 and 8,265 is: 12,397.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,847.39 : 35,771.07 = 8,265 : x
  2. Step 2: Convert to fraction form
    23,847.39/35,771.07 = 8,265/x
  3. Step 3: Cross multiply
    23,847.39x = 35,771.07 × 8,265
  4. Step 4: Simplify right side
    23,847.39x = 295,647,893.55
  5. Step 5: Solve for x
    x = 295,647,893.55/23,847.39
  6. Step 6: Final answer
    x = 12,397.49

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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.