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Finding the Fourth Proportional to 9,245.86, 13,871.22 and 8,064.88

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Solution

The fourth proportional to 9,245.86, 13,871.22 and 8,064.88 is: 12,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.86 : 13,871.22 = 8,064.88 : x
  2. Step 2: Convert to fraction form
    9,245.86/13,871.22 = 8,064.88/x
  3. Step 3: Cross multiply
    9,245.86x = 13,871.22 × 8,064.88
  4. Step 4: Simplify right side
    9,245.86x = 111,869,724.75
  5. Step 5: Solve for x
    x = 111,869,724.75/9,245.86
  6. Step 6: Final answer
    x = 12,099.44

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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.