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Finding the Fourth Proportional to 12,634.92, 18,928.14 and 7,071.42

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Solution

The fourth proportional to 12,634.92, 18,928.14 and 7,071.42 is: 10,593.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.92 : 18,928.14 = 7,071.42 : x
  2. Step 2: Convert to fraction form
    12,634.92/18,928.14 = 7,071.42/x
  3. Step 3: Cross multiply
    12,634.92x = 18,928.14 × 7,071.42
  4. Step 4: Simplify right side
    12,634.92x = 133,848,827.76
  5. Step 5: Solve for x
    x = 133,848,827.76/12,634.92
  6. Step 6: Final answer
    x = 10,593.56

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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.