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Finding the Fourth Proportional to 6,457.92, 9,691.13 and 2,297.86

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Solution

The fourth proportional to 6,457.92, 9,691.13 and 2,297.86 is: 3,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.92 : 9,691.13 = 2,297.86 : x
  2. Step 2: Convert to fraction form
    6,457.92/9,691.13 = 2,297.86/x
  3. Step 3: Cross multiply
    6,457.92x = 9,691.13 × 2,297.86
  4. Step 4: Simplify right side
    6,457.92x = 22,268,859.98
  5. Step 5: Solve for x
    x = 22,268,859.98/6,457.92
  6. Step 6: Final answer
    x = 3,448.30

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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.