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Finding the Fourth Proportional to 6,199.16, 9,296.88 and 3,275.88

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Solution

The fourth proportional to 6,199.16, 9,296.88 and 3,275.88 is: 4,912.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.16 : 9,296.88 = 3,275.88 : x
  2. Step 2: Convert to fraction form
    6,199.16/9,296.88 = 3,275.88/x
  3. Step 3: Cross multiply
    6,199.16x = 9,296.88 × 3,275.88
  4. Step 4: Simplify right side
    6,199.16x = 30,455,463.25
  5. Step 5: Solve for x
    x = 30,455,463.25/6,199.16
  6. Step 6: Final answer
    x = 4,912.84

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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.