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Finding the Fourth Proportional to 6,734.73, 9,293.46 and 4,216.73

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Solution

The fourth proportional to 6,734.73, 9,293.46 and 4,216.73 is: 5,818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.73 : 9,293.46 = 4,216.73 : x
  2. Step 2: Convert to fraction form
    6,734.73/9,293.46 = 4,216.73/x
  3. Step 3: Cross multiply
    6,734.73x = 9,293.46 × 4,216.73
  4. Step 4: Simplify right side
    6,734.73x = 39,188,011.59
  5. Step 5: Solve for x
    x = 39,188,011.59/6,734.73
  6. Step 6: Final answer
    x = 5,818.79

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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.