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Finding the Fourth Proportional to 6,797.54, 10,189.02 and 3,327.50

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Solution

The fourth proportional to 6,797.54, 10,189.02 and 3,327.50 is: 4,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.54 : 10,189.02 = 3,327.50 : x
  2. Step 2: Convert to fraction form
    6,797.54/10,189.02 = 3,327.50/x
  3. Step 3: Cross multiply
    6,797.54x = 10,189.02 × 3,327.50
  4. Step 4: Simplify right side
    6,797.54x = 33,903,964.05
  5. Step 5: Solve for x
    x = 33,903,964.05/6,797.54
  6. Step 6: Final answer
    x = 4,987.68

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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.