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Finding the Fourth Proportional to 14,706, 22,059 and 3,762

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Solution

The fourth proportional to 14,706, 22,059 and 3,762 is: 5,643

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706 : 22,059 = 3,762 : x
  2. Step 2: Convert to fraction form
    14,706/22,059 = 3,762/x
  3. Step 3: Cross multiply
    14,706x = 22,059 × 3,762
  4. Step 4: Simplify right side
    14,706x = 82,985,958
  5. Step 5: Solve for x
    x = 82,985,958/14,706
  6. Step 6: Final answer
    x = 5,643

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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.