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Finding the Fourth Proportional to 6,694.25, 9,239.47 and 4,456.22

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Solution

The fourth proportional to 6,694.25, 9,239.47 and 4,456.22 is: 6,150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.25 : 9,239.47 = 4,456.22 : x
  2. Step 2: Convert to fraction form
    6,694.25/9,239.47 = 4,456.22/x
  3. Step 3: Cross multiply
    6,694.25x = 9,239.47 × 4,456.22
  4. Step 4: Simplify right side
    6,694.25x = 41,173,053.67
  5. Step 5: Solve for x
    x = 41,173,053.67/6,694.25
  6. Step 6: Final answer
    x = 6,150.51

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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.