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Finding the Fourth Proportional to 7,049.84, 9,728.51 and 3,906.23

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Solution

The fourth proportional to 7,049.84, 9,728.51 and 3,906.23 is: 5,390.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.84 : 9,728.51 = 3,906.23 : x
  2. Step 2: Convert to fraction form
    7,049.84/9,728.51 = 3,906.23/x
  3. Step 3: Cross multiply
    7,049.84x = 9,728.51 × 3,906.23
  4. Step 4: Simplify right side
    7,049.84x = 38,001,729.44
  5. Step 5: Solve for x
    x = 38,001,729.44/7,049.84
  6. Step 6: Final answer
    x = 5,390.44

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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.