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Finding the Fourth Proportional to 17,977.92, 26,969.76 and 7,589.76

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Solution

The fourth proportional to 17,977.92, 26,969.76 and 7,589.76 is: 11,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977.92 : 26,969.76 = 7,589.76 : x
  2. Step 2: Convert to fraction form
    17,977.92/26,969.76 = 7,589.76/x
  3. Step 3: Cross multiply
    17,977.92x = 26,969.76 × 7,589.76
  4. Step 4: Simplify right side
    17,977.92x = 204,694,005.66
  5. Step 5: Solve for x
    x = 204,694,005.66/17,977.92
  6. Step 6: Final answer
    x = 11,385.86

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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.