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Finding the Fourth Proportional to 7,202.58, 9,942.28 and 4,219.38

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Solution

The fourth proportional to 7,202.58, 9,942.28 and 4,219.38 is: 5,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.58 : 9,942.28 = 4,219.38 : x
  2. Step 2: Convert to fraction form
    7,202.58/9,942.28 = 4,219.38/x
  3. Step 3: Cross multiply
    7,202.58x = 9,942.28 × 4,219.38
  4. Step 4: Simplify right side
    7,202.58x = 41,950,257.39
  5. Step 5: Solve for x
    x = 41,950,257.39/7,202.58
  6. Step 6: Final answer
    x = 5,824.34

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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.