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Finding the Fourth Proportional to 7,108.25, 9,809.39 and 3,964.44

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Solution

The fourth proportional to 7,108.25, 9,809.39 and 3,964.44 is: 5,470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.25 : 9,809.39 = 3,964.44 : x
  2. Step 2: Convert to fraction form
    7,108.25/9,809.39 = 3,964.44/x
  3. Step 3: Cross multiply
    7,108.25x = 9,809.39 × 3,964.44
  4. Step 4: Simplify right side
    7,108.25x = 38,888,718.27
  5. Step 5: Solve for x
    x = 38,888,718.27/7,108.25
  6. Step 6: Final answer
    x = 5,470.93

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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.