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Finding the Fourth Proportional to 6,298.11, 8,694.27 and 3,645

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Solution

The fourth proportional to 6,298.11, 8,694.27 and 3,645 is: 5,031.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.11 : 8,694.27 = 3,645 : x
  2. Step 2: Convert to fraction form
    6,298.11/8,694.27 = 3,645/x
  3. Step 3: Cross multiply
    6,298.11x = 8,694.27 × 3,645
  4. Step 4: Simplify right side
    6,298.11x = 31,690,614.15
  5. Step 5: Solve for x
    x = 31,690,614.15/6,298.11
  6. Step 6: Final answer
    x = 5,031.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.