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Finding the Fourth Proportional to 6,307.58, 9,462.80 and 2,147.66

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Solution

The fourth proportional to 6,307.58, 9,462.80 and 2,147.66 is: 3,221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.58 : 9,462.80 = 2,147.66 : x
  2. Step 2: Convert to fraction form
    6,307.58/9,462.80 = 2,147.66/x
  3. Step 3: Cross multiply
    6,307.58x = 9,462.80 × 2,147.66
  4. Step 4: Simplify right side
    6,307.58x = 20,322,835.10
  5. Step 5: Solve for x
    x = 20,322,835.10/6,307.58
  6. Step 6: Final answer
    x = 3,221.97

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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.