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Finding the Fourth Proportional to 6,974.50, 10,463.37 and 2,357.50

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Solution

The fourth proportional to 6,974.50, 10,463.37 and 2,357.50 is: 3,536.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.50 : 10,463.37 = 2,357.50 : x
  2. Step 2: Convert to fraction form
    6,974.50/10,463.37 = 2,357.50/x
  3. Step 3: Cross multiply
    6,974.50x = 10,463.37 × 2,357.50
  4. Step 4: Simplify right side
    6,974.50x = 24,667,394.78
  5. Step 5: Solve for x
    x = 24,667,394.78/6,974.50
  6. Step 6: Final answer
    x = 3,536.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.