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Finding the Fourth Proportional to 10,770.17, 16,163.96 and 7,071.71

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Solution

The fourth proportional to 10,770.17, 16,163.96 and 7,071.71 is: 10,613.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.17 : 16,163.96 = 7,071.71 : x
  2. Step 2: Convert to fraction form
    10,770.17/16,163.96 = 7,071.71/x
  3. Step 3: Cross multiply
    10,770.17x = 16,163.96 × 7,071.71
  4. Step 4: Simplify right side
    10,770.17x = 114,306,721.39
  5. Step 5: Solve for x
    x = 114,306,721.39/10,770.17
  6. Step 6: Final answer
    x = 10,613.27

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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.