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Finding the Fourth Proportional to 6,534.96, 9,797.38 and 3,245.50

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Solution

The fourth proportional to 6,534.96, 9,797.38 and 3,245.50 is: 4,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.96 : 9,797.38 = 3,245.50 : x
  2. Step 2: Convert to fraction form
    6,534.96/9,797.38 = 3,245.50/x
  3. Step 3: Cross multiply
    6,534.96x = 9,797.38 × 3,245.50
  4. Step 4: Simplify right side
    6,534.96x = 31,797,396.79
  5. Step 5: Solve for x
    x = 31,797,396.79/6,534.96
  6. Step 6: Final answer
    x = 4,865.74

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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.