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Finding the Fourth Proportional to 6,701, 10,051.52 and 2,084

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Solution

The fourth proportional to 6,701, 10,051.52 and 2,084 is: 3,126.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701 : 10,051.52 = 2,084 : x
  2. Step 2: Convert to fraction form
    6,701/10,051.52 = 2,084/x
  3. Step 3: Cross multiply
    6,701x = 10,051.52 × 2,084
  4. Step 4: Simplify right side
    6,701x = 20,947,367.68
  5. Step 5: Solve for x
    x = 20,947,367.68/6,701
  6. Step 6: Final answer
    x = 3,126.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.