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Finding the Fourth Proportional to 7,706.73, 11,560.17 and 2,776.41

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Solution

The fourth proportional to 7,706.73, 11,560.17 and 2,776.41 is: 4,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.73 : 11,560.17 = 2,776.41 : x
  2. Step 2: Convert to fraction form
    7,706.73/11,560.17 = 2,776.41/x
  3. Step 3: Cross multiply
    7,706.73x = 11,560.17 × 2,776.41
  4. Step 4: Simplify right side
    7,706.73x = 32,095,759.57
  5. Step 5: Solve for x
    x = 32,095,759.57/7,706.73
  6. Step 6: Final answer
    x = 4,164.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.