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Finding the Fourth Proportional to 6,944.31, 9,573.17 and 4,951.40

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Solution

The fourth proportional to 6,944.31, 9,573.17 and 4,951.40 is: 6,825.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.31 : 9,573.17 = 4,951.40 : x
  2. Step 2: Convert to fraction form
    6,944.31/9,573.17 = 4,951.40/x
  3. Step 3: Cross multiply
    6,944.31x = 9,573.17 × 4,951.40
  4. Step 4: Simplify right side
    6,944.31x = 47,400,593.94
  5. Step 5: Solve for x
    x = 47,400,593.94/6,944.31
  6. Step 6: Final answer
    x = 6,825.82

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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.