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Finding the Fourth Proportional to 6,493.95, 9,742.37 and 3,029.31

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Solution

The fourth proportional to 6,493.95, 9,742.37 and 3,029.31 is: 4,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.95 : 9,742.37 = 3,029.31 : x
  2. Step 2: Convert to fraction form
    6,493.95/9,742.37 = 3,029.31/x
  3. Step 3: Cross multiply
    6,493.95x = 9,742.37 × 3,029.31
  4. Step 4: Simplify right side
    6,493.95x = 29,512,658.86
  5. Step 5: Solve for x
    x = 29,512,658.86/6,493.95
  6. Step 6: Final answer
    x = 4,544.64

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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.