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Finding the Fourth Proportional to 6,996.50, 9,655.22 and 3,809.83

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Solution

The fourth proportional to 6,996.50, 9,655.22 and 3,809.83 is: 5,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.50 : 9,655.22 = 3,809.83 : x
  2. Step 2: Convert to fraction form
    6,996.50/9,655.22 = 3,809.83/x
  3. Step 3: Cross multiply
    6,996.50x = 9,655.22 × 3,809.83
  4. Step 4: Simplify right side
    6,996.50x = 36,784,746.81
  5. Step 5: Solve for x
    x = 36,784,746.81/6,996.50
  6. Step 6: Final answer
    x = 5,257.59

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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.