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Finding the Fourth Proportional to 6,798.13, 10,198.16 and 3,003

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Solution

The fourth proportional to 6,798.13, 10,198.16 and 3,003 is: 4,504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.13 : 10,198.16 = 3,003 : x
  2. Step 2: Convert to fraction form
    6,798.13/10,198.16 = 3,003/x
  3. Step 3: Cross multiply
    6,798.13x = 10,198.16 × 3,003
  4. Step 4: Simplify right side
    6,798.13x = 30,625,074.48
  5. Step 5: Solve for x
    x = 30,625,074.48/6,798.13
  6. Step 6: Final answer
    x = 4,504.93

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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.