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Finding the Fourth Proportional to 11,640.97, 16,063.82 and 6,536.11

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Solution

The fourth proportional to 11,640.97, 16,063.82 and 6,536.11 is: 9,019.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.97 : 16,063.82 = 6,536.11 : x
  2. Step 2: Convert to fraction form
    11,640.97/16,063.82 = 6,536.11/x
  3. Step 3: Cross multiply
    11,640.97x = 16,063.82 × 6,536.11
  4. Step 4: Simplify right side
    11,640.97x = 104,994,894.54
  5. Step 5: Solve for x
    x = 104,994,894.54/11,640.97
  6. Step 6: Final answer
    x = 9,019.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.