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Finding the Fourth Proportional to 7,706.82, 10,634.82 and 4,349.97

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Solution

The fourth proportional to 7,706.82, 10,634.82 and 4,349.97 is: 6,002.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.82 : 10,634.82 = 4,349.97 : x
  2. Step 2: Convert to fraction form
    7,706.82/10,634.82 = 4,349.97/x
  3. Step 3: Cross multiply
    7,706.82x = 10,634.82 × 4,349.97
  4. Step 4: Simplify right side
    7,706.82x = 46,261,099.01
  5. Step 5: Solve for x
    x = 46,261,099.01/7,706.82
  6. Step 6: Final answer
    x = 6,002.62

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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.