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Finding the Fourth Proportional to 6,906.68, 9,532.47 and 4,073.90

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Solution

The fourth proportional to 6,906.68, 9,532.47 and 4,073.90 is: 5,622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.68 : 9,532.47 = 4,073.90 : x
  2. Step 2: Convert to fraction form
    6,906.68/9,532.47 = 4,073.90/x
  3. Step 3: Cross multiply
    6,906.68x = 9,532.47 × 4,073.90
  4. Step 4: Simplify right side
    6,906.68x = 38,834,274.23
  5. Step 5: Solve for x
    x = 38,834,274.23/6,906.68
  6. Step 6: Final answer
    x = 5,622.71

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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.