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Finding the Fourth Proportional to 9,817.20, 14,709.60 and 8,164.80

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Solution

The fourth proportional to 9,817.20, 14,709.60 and 8,164.80 is: 12,233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.20 : 14,709.60 = 8,164.80 : x
  2. Step 2: Convert to fraction form
    9,817.20/14,709.60 = 8,164.80/x
  3. Step 3: Cross multiply
    9,817.20x = 14,709.60 × 8,164.80
  4. Step 4: Simplify right side
    9,817.20x = 120,100,942.08
  5. Step 5: Solve for x
    x = 120,100,942.08/9,817.20
  6. Step 6: Final answer
    x = 12,233.73

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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.