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Finding the Fourth Proportional to 6,093.54, 9,134.91 and 2,971.80

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Solution

The fourth proportional to 6,093.54, 9,134.91 and 2,971.80 is: 4,455.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.54 : 9,134.91 = 2,971.80 : x
  2. Step 2: Convert to fraction form
    6,093.54/9,134.91 = 2,971.80/x
  3. Step 3: Cross multiply
    6,093.54x = 9,134.91 × 2,971.80
  4. Step 4: Simplify right side
    6,093.54x = 27,147,125.54
  5. Step 5: Solve for x
    x = 27,147,125.54/6,093.54
  6. Step 6: Final answer
    x = 4,455.07

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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.