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Finding the Fourth Proportional to 6,571.75, 9,853.84 and 4,494.27

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Solution

The fourth proportional to 6,571.75, 9,853.84 and 4,494.27 is: 6,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.75 : 9,853.84 = 4,494.27 : x
  2. Step 2: Convert to fraction form
    6,571.75/9,853.84 = 4,494.27/x
  3. Step 3: Cross multiply
    6,571.75x = 9,853.84 × 4,494.27
  4. Step 4: Simplify right side
    6,571.75x = 44,285,851.64
  5. Step 5: Solve for x
    x = 44,285,851.64/6,571.75
  6. Step 6: Final answer
    x = 6,738.82

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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.