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Finding the Fourth Proportional to 7,701, 11,552.06 and 3,084

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Solution

The fourth proportional to 7,701, 11,552.06 and 3,084 is: 4,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701 : 11,552.06 = 3,084 : x
  2. Step 2: Convert to fraction form
    7,701/11,552.06 = 3,084/x
  3. Step 3: Cross multiply
    7,701x = 11,552.06 × 3,084
  4. Step 4: Simplify right side
    7,701x = 35,626,537.62
  5. Step 5: Solve for x
    x = 35,626,537.62/7,701
  6. Step 6: Final answer
    x = 4,626.22

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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.