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Finding the Fourth Proportional to 6,260, 9,393.24 and 3,182

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Solution

The fourth proportional to 6,260, 9,393.24 and 3,182 is: 4,774.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,260 : 9,393.24 = 3,182 : x
  2. Step 2: Convert to fraction form
    6,260/9,393.24 = 3,182/x
  3. Step 3: Cross multiply
    6,260x = 9,393.24 × 3,182
  4. Step 4: Simplify right side
    6,260x = 29,889,289.68
  5. Step 5: Solve for x
    x = 29,889,289.68/6,260
  6. Step 6: Final answer
    x = 4,774.65

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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.