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Finding the Fourth Proportional to 6,557.56, 9,835.86 and 3,269.74

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Solution

The fourth proportional to 6,557.56, 9,835.86 and 3,269.74 is: 4,904.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.56 : 9,835.86 = 3,269.74 : x
  2. Step 2: Convert to fraction form
    6,557.56/9,835.86 = 3,269.74/x
  3. Step 3: Cross multiply
    6,557.56x = 9,835.86 × 3,269.74
  4. Step 4: Simplify right side
    6,557.56x = 32,160,704.88
  5. Step 5: Solve for x
    x = 32,160,704.88/6,557.56
  6. Step 6: Final answer
    x = 4,904.37

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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.