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Finding the Fourth Proportional to 6,496.86, 9,746.25 and 1,879.26

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Solution

The fourth proportional to 6,496.86, 9,746.25 and 1,879.26 is: 2,819.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.86 : 9,746.25 = 1,879.26 : x
  2. Step 2: Convert to fraction form
    6,496.86/9,746.25 = 1,879.26/x
  3. Step 3: Cross multiply
    6,496.86x = 9,746.25 × 1,879.26
  4. Step 4: Simplify right side
    6,496.86x = 18,315,737.78
  5. Step 5: Solve for x
    x = 18,315,737.78/6,496.86
  6. Step 6: Final answer
    x = 2,819.17

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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.