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Finding the Fourth Proportional to 6,809.48, 10,215.90 and 2,426.60

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Solution

The fourth proportional to 6,809.48, 10,215.90 and 2,426.60 is: 3,640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.48 : 10,215.90 = 2,426.60 : x
  2. Step 2: Convert to fraction form
    6,809.48/10,215.90 = 2,426.60/x
  3. Step 3: Cross multiply
    6,809.48x = 10,215.90 × 2,426.60
  4. Step 4: Simplify right side
    6,809.48x = 24,789,902.94
  5. Step 5: Solve for x
    x = 24,789,902.94/6,809.48
  6. Step 6: Final answer
    x = 3,640.50

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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.