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Finding the Fourth Proportional to 6,414.05, 9,617.50 and 4,415.11

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Solution

The fourth proportional to 6,414.05, 9,617.50 and 4,415.11 is: 6,620.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.05 : 9,617.50 = 4,415.11 : x
  2. Step 2: Convert to fraction form
    6,414.05/9,617.50 = 4,415.11/x
  3. Step 3: Cross multiply
    6,414.05x = 9,617.50 × 4,415.11
  4. Step 4: Simplify right side
    6,414.05x = 42,462,301.90
  5. Step 5: Solve for x
    x = 42,462,301.90/6,414.05
  6. Step 6: Final answer
    x = 6,620.20

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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.