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Finding the Fourth Proportional to 6,076.50, 9,109.86 and 2,616.18

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Solution

The fourth proportional to 6,076.50, 9,109.86 and 2,616.18 is: 3,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.50 : 9,109.86 = 2,616.18 : x
  2. Step 2: Convert to fraction form
    6,076.50/9,109.86 = 2,616.18/x
  3. Step 3: Cross multiply
    6,076.50x = 9,109.86 × 2,616.18
  4. Step 4: Simplify right side
    6,076.50x = 23,833,033.53
  5. Step 5: Solve for x
    x = 23,833,033.53/6,076.50
  6. Step 6: Final answer
    x = 3,922.16

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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.