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Finding the Fourth Proportional to 6,497.30, 9,746.09 and 2,493.27

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Solution

The fourth proportional to 6,497.30, 9,746.09 and 2,493.27 is: 3,739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.30 : 9,746.09 = 2,493.27 : x
  2. Step 2: Convert to fraction form
    6,497.30/9,746.09 = 2,493.27/x
  3. Step 3: Cross multiply
    6,497.30x = 9,746.09 × 2,493.27
  4. Step 4: Simplify right side
    6,497.30x = 24,299,621.35
  5. Step 5: Solve for x
    x = 24,299,621.35/6,497.30
  6. Step 6: Final answer
    x = 3,739.96

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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.