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Finding the Fourth Proportional to 6,761.43, 9,330.14 and 3,966.39

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Solution

The fourth proportional to 6,761.43, 9,330.14 and 3,966.39 is: 5,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.43 : 9,330.14 = 3,966.39 : x
  2. Step 2: Convert to fraction form
    6,761.43/9,330.14 = 3,966.39/x
  3. Step 3: Cross multiply
    6,761.43x = 9,330.14 × 3,966.39
  4. Step 4: Simplify right side
    6,761.43x = 37,006,954.16
  5. Step 5: Solve for x
    x = 37,006,954.16/6,761.43
  6. Step 6: Final answer
    x = 5,473.24

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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.