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Finding the Fourth Proportional to 6,724.84, 10,084.20 and 2,827.12

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Solution

The fourth proportional to 6,724.84, 10,084.20 and 2,827.12 is: 4,239.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724.84 : 10,084.20 = 2,827.12 : x
  2. Step 2: Convert to fraction form
    6,724.84/10,084.20 = 2,827.12/x
  3. Step 3: Cross multiply
    6,724.84x = 10,084.20 × 2,827.12
  4. Step 4: Simplify right side
    6,724.84x = 28,509,243.50
  5. Step 5: Solve for x
    x = 28,509,243.50/6,724.84
  6. Step 6: Final answer
    x = 4,239.39

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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.