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Finding the Fourth Proportional to 5,957.69, 8,219.94 and 4,694.82

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Solution

The fourth proportional to 5,957.69, 8,219.94 and 4,694.82 is: 6,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.69 : 8,219.94 = 4,694.82 : x
  2. Step 2: Convert to fraction form
    5,957.69/8,219.94 = 4,694.82/x
  3. Step 3: Cross multiply
    5,957.69x = 8,219.94 × 4,694.82
  4. Step 4: Simplify right side
    5,957.69x = 38,591,169.54
  5. Step 5: Solve for x
    x = 38,591,169.54/5,957.69
  6. Step 6: Final answer
    x = 6,477.54

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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.