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Finding the Fourth Proportional to 9,916, 14,874 and 3,760

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Solution

The fourth proportional to 9,916, 14,874 and 3,760 is: 5,640

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916 : 14,874 = 3,760 : x
  2. Step 2: Convert to fraction form
    9,916/14,874 = 3,760/x
  3. Step 3: Cross multiply
    9,916x = 14,874 × 3,760
  4. Step 4: Simplify right side
    9,916x = 55,926,240
  5. Step 5: Solve for x
    x = 55,926,240/9,916
  6. Step 6: Final answer
    x = 5,640

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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.