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Finding the Fourth Proportional to 11,755.72, 17,633.51 and 2,991.32

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Solution

The fourth proportional to 11,755.72, 17,633.51 and 2,991.32 is: 4,486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.72 : 17,633.51 = 2,991.32 : x
  2. Step 2: Convert to fraction form
    11,755.72/17,633.51 = 2,991.32/x
  3. Step 3: Cross multiply
    11,755.72x = 17,633.51 × 2,991.32
  4. Step 4: Simplify right side
    11,755.72x = 52,747,471.13
  5. Step 5: Solve for x
    x = 52,747,471.13/11,755.72
  6. Step 6: Final answer
    x = 4,486.96

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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.