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Finding the Fourth Proportional to 9,657.20, 14,518.20 and 8,231.60

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Solution

The fourth proportional to 9,657.20, 14,518.20 and 8,231.60 is: 12,375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.20 : 14,518.20 = 8,231.60 : x
  2. Step 2: Convert to fraction form
    9,657.20/14,518.20 = 8,231.60/x
  3. Step 3: Cross multiply
    9,657.20x = 14,518.20 × 8,231.60
  4. Step 4: Simplify right side
    9,657.20x = 119,508,015.12
  5. Step 5: Solve for x
    x = 119,508,015.12/9,657.20
  6. Step 6: Final answer
    x = 12,375.02

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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.