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Finding the Fourth Proportional to 7,705.97, 10,634.20 and 4,169.11

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Solution

The fourth proportional to 7,705.97, 10,634.20 and 4,169.11 is: 5,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.97 : 10,634.20 = 4,169.11 : x
  2. Step 2: Convert to fraction form
    7,705.97/10,634.20 = 4,169.11/x
  3. Step 3: Cross multiply
    7,705.97x = 10,634.20 × 4,169.11
  4. Step 4: Simplify right side
    7,705.97x = 44,335,112.55
  5. Step 5: Solve for x
    x = 44,335,112.55/7,705.97
  6. Step 6: Final answer
    x = 5,753.34

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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.