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Finding the Fourth Proportional to 6,958.73, 9,602.61 and 3,814.94

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Solution

The fourth proportional to 6,958.73, 9,602.61 and 3,814.94 is: 5,264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.73 : 9,602.61 = 3,814.94 : x
  2. Step 2: Convert to fraction form
    6,958.73/9,602.61 = 3,814.94/x
  3. Step 3: Cross multiply
    6,958.73x = 9,602.61 × 3,814.94
  4. Step 4: Simplify right side
    6,958.73x = 36,633,380.99
  5. Step 5: Solve for x
    x = 36,633,380.99/6,958.73
  6. Step 6: Final answer
    x = 5,264.38

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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.