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Finding the Fourth Proportional to 6,173.68, 9,260.52 and 2,014

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Solution

The fourth proportional to 6,173.68, 9,260.52 and 2,014 is: 3,021

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.68 : 9,260.52 = 2,014 : x
  2. Step 2: Convert to fraction form
    6,173.68/9,260.52 = 2,014/x
  3. Step 3: Cross multiply
    6,173.68x = 9,260.52 × 2,014
  4. Step 4: Simplify right side
    6,173.68x = 18,650,687.28
  5. Step 5: Solve for x
    x = 18,650,687.28/6,173.68
  6. Step 6: Final answer
    x = 3,021

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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.