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Finding the Fourth Proportional to 6,474.49, 9,712.19 and 2,092.28

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Solution

The fourth proportional to 6,474.49, 9,712.19 and 2,092.28 is: 3,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.49 : 9,712.19 = 2,092.28 : x
  2. Step 2: Convert to fraction form
    6,474.49/9,712.19 = 2,092.28/x
  3. Step 3: Cross multiply
    6,474.49x = 9,712.19 × 2,092.28
  4. Step 4: Simplify right side
    6,474.49x = 20,320,634.71
  5. Step 5: Solve for x
    x = 20,320,634.71/6,474.49
  6. Step 6: Final answer
    x = 3,138.57

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1.5x scale

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.