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Finding the Fourth Proportional to 11,761.57, 17,625.75 and 6,498.94

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Solution

The fourth proportional to 11,761.57, 17,625.75 and 6,498.94 is: 9,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.57 : 17,625.75 = 6,498.94 : x
  2. Step 2: Convert to fraction form
    11,761.57/17,625.75 = 6,498.94/x
  3. Step 3: Cross multiply
    11,761.57x = 17,625.75 × 6,498.94
  4. Step 4: Simplify right side
    11,761.57x = 114,548,691.71
  5. Step 5: Solve for x
    x = 114,548,691.71/11,761.57
  6. Step 6: Final answer
    x = 9,739.23

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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.