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Finding the Fourth Proportional to 7,201.96, 10,784.22 and 6,168.60

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Solution

The fourth proportional to 7,201.96, 10,784.22 and 6,168.60 is: 9,236.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.96 : 10,784.22 = 6,168.60 : x
  2. Step 2: Convert to fraction form
    7,201.96/10,784.22 = 6,168.60/x
  3. Step 3: Cross multiply
    7,201.96x = 10,784.22 × 6,168.60
  4. Step 4: Simplify right side
    7,201.96x = 66,523,539.49
  5. Step 5: Solve for x
    x = 66,523,539.49/7,201.96
  6. Step 6: Final answer
    x = 9,236.87

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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.