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Finding the Fourth Proportional to 9,850.56, 14,732.64 and 8,571.84

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Solution

The fourth proportional to 9,850.56, 14,732.64 and 8,571.84 is: 12,820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.56 : 14,732.64 = 8,571.84 : x
  2. Step 2: Convert to fraction form
    9,850.56/14,732.64 = 8,571.84/x
  3. Step 3: Cross multiply
    9,850.56x = 14,732.64 × 8,571.84
  4. Step 4: Simplify right side
    9,850.56x = 126,285,832.86
  5. Step 5: Solve for x
    x = 126,285,832.86/9,850.56
  6. Step 6: Final answer
    x = 12,820.17

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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.