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Finding the Fourth Proportional to 9,836.44, 14,754.66 and 3,679

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Solution

The fourth proportional to 9,836.44, 14,754.66 and 3,679 is: 5,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.44 : 14,754.66 = 3,679 : x
  2. Step 2: Convert to fraction form
    9,836.44/14,754.66 = 3,679/x
  3. Step 3: Cross multiply
    9,836.44x = 14,754.66 × 3,679
  4. Step 4: Simplify right side
    9,836.44x = 54,282,394.14
  5. Step 5: Solve for x
    x = 54,282,394.14/9,836.44
  6. Step 6: Final answer
    x = 5,518.50

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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.