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Finding the Fourth Proportional to 6,797.30, 10,191.89 and 2,353.50

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Solution

The fourth proportional to 6,797.30, 10,191.89 and 2,353.50 is: 3,528.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.30 : 10,191.89 = 2,353.50 : x
  2. Step 2: Convert to fraction form
    6,797.30/10,191.89 = 2,353.50/x
  3. Step 3: Cross multiply
    6,797.30x = 10,191.89 × 2,353.50
  4. Step 4: Simplify right side
    6,797.30x = 23,986,619.00
  5. Step 5: Solve for x
    x = 23,986,619.00/6,797.30
  6. Step 6: Final answer
    x = 3,528.85

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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.