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Finding the Fourth Proportional to 23,847.36, 35,770.48 and 8,264.80

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Solution

The fourth proportional to 23,847.36, 35,770.48 and 8,264.80 is: 12,397.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,847.36 : 35,770.48 = 8,264.80 : x
  2. Step 2: Convert to fraction form
    23,847.36/35,770.48 = 8,264.80/x
  3. Step 3: Cross multiply
    23,847.36x = 35,770.48 × 8,264.80
  4. Step 4: Simplify right side
    23,847.36x = 295,635,863.10
  5. Step 5: Solve for x
    x = 295,635,863.10/23,847.36
  6. Step 6: Final answer
    x = 12,397.01

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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.