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Finding the Fourth Proportional to 6,941.82, 10,410.30 and 4,305.30

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Solution

The fourth proportional to 6,941.82, 10,410.30 and 4,305.30 is: 6,456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.82 : 10,410.30 = 4,305.30 : x
  2. Step 2: Convert to fraction form
    6,941.82/10,410.30 = 4,305.30/x
  3. Step 3: Cross multiply
    6,941.82x = 10,410.30 × 4,305.30
  4. Step 4: Simplify right side
    6,941.82x = 44,819,464.59
  5. Step 5: Solve for x
    x = 44,819,464.59/6,941.82
  6. Step 6: Final answer
    x = 6,456.44

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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.