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Finding the Fourth Proportional to 6,181.88, 9,272.10 and 2,483.96

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Solution

The fourth proportional to 6,181.88, 9,272.10 and 2,483.96 is: 3,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.88 : 9,272.10 = 2,483.96 : x
  2. Step 2: Convert to fraction form
    6,181.88/9,272.10 = 2,483.96/x
  3. Step 3: Cross multiply
    6,181.88x = 9,272.10 × 2,483.96
  4. Step 4: Simplify right side
    6,181.88x = 23,031,525.52
  5. Step 5: Solve for x
    x = 23,031,525.52/6,181.88
  6. Step 6: Final answer
    x = 3,725.65

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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.