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Finding the Fourth Proportional to 6,809.66, 10,211.97 and 2,425.94

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Solution

The fourth proportional to 6,809.66, 10,211.97 and 2,425.94 is: 3,638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.66 : 10,211.97 = 2,425.94 : x
  2. Step 2: Convert to fraction form
    6,809.66/10,211.97 = 2,425.94/x
  3. Step 3: Cross multiply
    6,809.66x = 10,211.97 × 2,425.94
  4. Step 4: Simplify right side
    6,809.66x = 24,773,626.50
  5. Step 5: Solve for x
    x = 24,773,626.50/6,809.66
  6. Step 6: Final answer
    x = 3,638.01

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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.