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Finding the Fourth Proportional to 6,697.82, 10,041.30 and 3,363.86

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Solution

The fourth proportional to 6,697.82, 10,041.30 and 3,363.86 is: 5,043.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.82 : 10,041.30 = 3,363.86 : x
  2. Step 2: Convert to fraction form
    6,697.82/10,041.30 = 3,363.86/x
  3. Step 3: Cross multiply
    6,697.82x = 10,041.30 × 3,363.86
  4. Step 4: Simplify right side
    6,697.82x = 33,777,477.21
  5. Step 5: Solve for x
    x = 33,777,477.21/6,697.82
  6. Step 6: Final answer
    x = 5,043.06

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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.