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Finding the Fourth Proportional to 6,195.50, 9,296.30 and 2,908.86

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Solution

The fourth proportional to 6,195.50, 9,296.30 and 2,908.86 is: 4,364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.50 : 9,296.30 = 2,908.86 : x
  2. Step 2: Convert to fraction form
    6,195.50/9,296.30 = 2,908.86/x
  3. Step 3: Cross multiply
    6,195.50x = 9,296.30 × 2,908.86
  4. Step 4: Simplify right side
    6,195.50x = 27,041,635.22
  5. Step 5: Solve for x
    x = 27,041,635.22/6,195.50
  6. Step 6: Final answer
    x = 4,364.72

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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.