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Finding the Fourth Proportional to 6,496.70, 9,746.66 and 1,879.70

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Solution

The fourth proportional to 6,496.70, 9,746.66 and 1,879.70 is: 2,820.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.70 : 9,746.66 = 1,879.70 : x
  2. Step 2: Convert to fraction form
    6,496.70/9,746.66 = 1,879.70/x
  3. Step 3: Cross multiply
    6,496.70x = 9,746.66 × 1,879.70
  4. Step 4: Simplify right side
    6,496.70x = 18,320,738.67
  5. Step 5: Solve for x
    x = 18,320,738.67/6,496.70
  6. Step 6: Final answer
    x = 2,820.01

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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.