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Finding the Fourth Proportional to 17,847, 26,770.68 and 7,314.32

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Solution

The fourth proportional to 17,847, 26,770.68 and 7,314.32 is: 10,971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,847 : 26,770.68 = 7,314.32 : x
  2. Step 2: Convert to fraction form
    17,847/26,770.68 = 7,314.32/x
  3. Step 3: Cross multiply
    17,847x = 26,770.68 × 7,314.32
  4. Step 4: Simplify right side
    17,847x = 195,809,186.28
  5. Step 5: Solve for x
    x = 195,809,186.28/17,847
  6. Step 6: Final answer
    x = 10,971.55

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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.