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Finding the Fourth Proportional to 7,243.82, 9,958.02 and 6,231.83

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Solution

The fourth proportional to 7,243.82, 9,958.02 and 6,231.83 is: 8,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.82 : 9,958.02 = 6,231.83 : x
  2. Step 2: Convert to fraction form
    7,243.82/9,958.02 = 6,231.83/x
  3. Step 3: Cross multiply
    7,243.82x = 9,958.02 × 6,231.83
  4. Step 4: Simplify right side
    7,243.82x = 62,056,637.99
  5. Step 5: Solve for x
    x = 62,056,637.99/7,243.82
  6. Step 6: Final answer
    x = 8,566.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.