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Finding the Fourth Proportional to 7,796.22, 11,704.05 and 6,231.30

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Solution

The fourth proportional to 7,796.22, 11,704.05 and 6,231.30 is: 9,354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.22 : 11,704.05 = 6,231.30 : x
  2. Step 2: Convert to fraction form
    7,796.22/11,704.05 = 6,231.30/x
  3. Step 3: Cross multiply
    7,796.22x = 11,704.05 × 6,231.30
  4. Step 4: Simplify right side
    7,796.22x = 72,931,446.77
  5. Step 5: Solve for x
    x = 72,931,446.77/7,796.22
  6. Step 6: Final answer
    x = 9,354.72

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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.