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Finding the Fourth Proportional to 6,170.77, 9,253.99 and 2,010

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Solution

The fourth proportional to 6,170.77, 9,253.99 and 2,010 is: 3,014.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.77 : 9,253.99 = 2,010 : x
  2. Step 2: Convert to fraction form
    6,170.77/9,253.99 = 2,010/x
  3. Step 3: Cross multiply
    6,170.77x = 9,253.99 × 2,010
  4. Step 4: Simplify right side
    6,170.77x = 18,600,519.90
  5. Step 5: Solve for x
    x = 18,600,519.90/6,170.77
  6. Step 6: Final answer
    x = 3,014.29

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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.