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Finding the Fourth Proportional to 6,616.67, 9,917.43 and 2,716.25

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Solution

The fourth proportional to 6,616.67, 9,917.43 and 2,716.25 is: 4,071.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.67 : 9,917.43 = 2,716.25 : x
  2. Step 2: Convert to fraction form
    6,616.67/9,917.43 = 2,716.25/x
  3. Step 3: Cross multiply
    6,616.67x = 9,917.43 × 2,716.25
  4. Step 4: Simplify right side
    6,616.67x = 26,938,219.24
  5. Step 5: Solve for x
    x = 26,938,219.24/6,616.67
  6. Step 6: Final answer
    x = 4,071.27

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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.