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Finding the Fourth Proportional to 4,197, 6,293.82 and 1,274.76

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Solution

The fourth proportional to 4,197, 6,293.82 and 1,274.76 is: 1,911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197 : 6,293.82 = 1,274.76 : x
  2. Step 2: Convert to fraction form
    4,197/6,293.82 = 1,274.76/x
  3. Step 3: Cross multiply
    4,197x = 6,293.82 × 1,274.76
  4. Step 4: Simplify right side
    4,197x = 8,023,109.98
  5. Step 5: Solve for x
    x = 8,023,109.98/4,197
  6. Step 6: Final answer
    x = 1,911.63

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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.