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Finding the Fourth Proportional to 7,108.38, 9,809.62 and 3,964.64

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Solution

The fourth proportional to 7,108.38, 9,809.62 and 3,964.64 is: 5,471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.38 : 9,809.62 = 3,964.64 : x
  2. Step 2: Convert to fraction form
    7,108.38/9,809.62 = 3,964.64/x
  3. Step 3: Cross multiply
    7,108.38x = 9,809.62 × 3,964.64
  4. Step 4: Simplify right side
    7,108.38x = 38,891,611.84
  5. Step 5: Solve for x
    x = 38,891,611.84/7,108.38
  6. Step 6: Final answer
    x = 5,471.23

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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.