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Finding the Fourth Proportional to 6,122.49, 8,449 and 3,604.57

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Solution

The fourth proportional to 6,122.49, 8,449 and 3,604.57 is: 4,974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.49 : 8,449 = 3,604.57 : x
  2. Step 2: Convert to fraction form
    6,122.49/8,449 = 3,604.57/x
  3. Step 3: Cross multiply
    6,122.49x = 8,449 × 3,604.57
  4. Step 4: Simplify right side
    6,122.49x = 30,455,011.93
  5. Step 5: Solve for x
    x = 30,455,011.93/6,122.49
  6. Step 6: Final answer
    x = 4,974.29

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1.5x scale

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.