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Finding the Fourth Proportional to 6,380.58, 9,559.56 and 5,446.77

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Solution

The fourth proportional to 6,380.58, 9,559.56 and 5,446.77 is: 8,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.58 : 9,559.56 = 5,446.77 : x
  2. Step 2: Convert to fraction form
    6,380.58/9,559.56 = 5,446.77/x
  3. Step 3: Cross multiply
    6,380.58x = 9,559.56 × 5,446.77
  4. Step 4: Simplify right side
    6,380.58x = 52,068,724.62
  5. Step 5: Solve for x
    x = 52,068,724.62/6,380.58
  6. Step 6: Final answer
    x = 8,160.50

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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.