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Finding the Fourth Proportional to 7,706.00, 10,634.24 and 4,169.21

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Solution

The fourth proportional to 7,706.00, 10,634.24 and 4,169.21 is: 5,753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.00 : 10,634.24 = 4,169.21 : x
  2. Step 2: Convert to fraction form
    7,706.00/10,634.24 = 4,169.21/x
  3. Step 3: Cross multiply
    7,706.00x = 10,634.24 × 4,169.21
  4. Step 4: Simplify right side
    7,706.00x = 44,336,305.73
  5. Step 5: Solve for x
    x = 44,336,305.73/7,706.00
  6. Step 6: Final answer
    x = 5,753.48

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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.