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Finding the Fourth Proportional to 14,576, 21,864 and 3,632

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Solution

The fourth proportional to 14,576, 21,864 and 3,632 is: 5,448

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576 : 21,864 = 3,632 : x
  2. Step 2: Convert to fraction form
    14,576/21,864 = 3,632/x
  3. Step 3: Cross multiply
    14,576x = 21,864 × 3,632
  4. Step 4: Simplify right side
    14,576x = 79,410,048
  5. Step 5: Solve for x
    x = 79,410,048/14,576
  6. Step 6: Final answer
    x = 5,448

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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.