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Finding the Fourth Proportional to 4,634, 6,951 and 1,898

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Solution

The fourth proportional to 4,634, 6,951 and 1,898 is: 2,847

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634 : 6,951 = 1,898 : x
  2. Step 2: Convert to fraction form
    4,634/6,951 = 1,898/x
  3. Step 3: Cross multiply
    4,634x = 6,951 × 1,898
  4. Step 4: Simplify right side
    4,634x = 13,192,998
  5. Step 5: Solve for x
    x = 13,192,998/4,634
  6. Step 6: Final answer
    x = 2,847

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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.