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Finding the Fourth Proportional to 6,571.62, 9,854.19 and 2,408.49

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Solution

The fourth proportional to 6,571.62, 9,854.19 and 2,408.49 is: 3,611.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.62 : 9,854.19 = 2,408.49 : x
  2. Step 2: Convert to fraction form
    6,571.62/9,854.19 = 2,408.49/x
  3. Step 3: Cross multiply
    6,571.62x = 9,854.19 × 2,408.49
  4. Step 4: Simplify right side
    6,571.62x = 23,733,718.07
  5. Step 5: Solve for x
    x = 23,733,718.07/6,571.62
  6. Step 6: Final answer
    x = 3,611.55

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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.