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Finding the Fourth Proportional to 6,251, 9,376.60 and 1,634

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Solution

The fourth proportional to 6,251, 9,376.60 and 1,634 is: 2,451.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,251 : 9,376.60 = 1,634 : x
  2. Step 2: Convert to fraction form
    6,251/9,376.60 = 1,634/x
  3. Step 3: Cross multiply
    6,251x = 9,376.60 × 1,634
  4. Step 4: Simplify right side
    6,251x = 15,321,364.40
  5. Step 5: Solve for x
    x = 15,321,364.40/6,251
  6. Step 6: Final answer
    x = 2,451.03

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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.