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Finding the Fourth Proportional to 11,446.97, 15,797.16 and 6,411.17

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Solution

The fourth proportional to 11,446.97, 15,797.16 and 6,411.17 is: 8,847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.97 : 15,797.16 = 6,411.17 : x
  2. Step 2: Convert to fraction form
    11,446.97/15,797.16 = 6,411.17/x
  3. Step 3: Cross multiply
    11,446.97x = 15,797.16 × 6,411.17
  4. Step 4: Simplify right side
    11,446.97x = 101,278,317.77
  5. Step 5: Solve for x
    x = 101,278,317.77/11,446.97
  6. Step 6: Final answer
    x = 8,847.61

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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.