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Finding the Fourth Proportional to 6,571.46, 9,856.52 and 2,188.44

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Solution

The fourth proportional to 6,571.46, 9,856.52 and 2,188.44 is: 3,282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.46 : 9,856.52 = 2,188.44 : x
  2. Step 2: Convert to fraction form
    6,571.46/9,856.52 = 2,188.44/x
  3. Step 3: Cross multiply
    6,571.46x = 9,856.52 × 2,188.44
  4. Step 4: Simplify right side
    6,571.46x = 21,570,391.69
  5. Step 5: Solve for x
    x = 21,570,391.69/6,571.46
  6. Step 6: Final answer
    x = 3,282.44

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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.