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Finding the Fourth Proportional to 7,246.50, 10,870.67 and 2,249.21

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Solution

The fourth proportional to 7,246.50, 10,870.67 and 2,249.21 is: 3,374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.50 : 10,870.67 = 2,249.21 : x
  2. Step 2: Convert to fraction form
    7,246.50/10,870.67 = 2,249.21/x
  3. Step 3: Cross multiply
    7,246.50x = 10,870.67 × 2,249.21
  4. Step 4: Simplify right side
    7,246.50x = 24,450,370.94
  5. Step 5: Solve for x
    x = 24,450,370.94/7,246.50
  6. Step 6: Final answer
    x = 3,374.09

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Why These Related Problems?

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