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Finding the Fourth Proportional to 23,755.70, 35,632.26 and 8,964.26

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Solution

The fourth proportional to 23,755.70, 35,632.26 and 8,964.26 is: 13,445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,755.70 : 35,632.26 = 8,964.26 : x
  2. Step 2: Convert to fraction form
    23,755.70/35,632.26 = 8,964.26/x
  3. Step 3: Cross multiply
    23,755.70x = 35,632.26 × 8,964.26
  4. Step 4: Simplify right side
    23,755.70x = 319,416,843.03
  5. Step 5: Solve for x
    x = 319,416,843.03/23,755.70
  6. Step 6: Final answer
    x = 13,445.90

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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.