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Finding the Fourth Proportional to 14,982, 22,473 and 4,038

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Solution

The fourth proportional to 14,982, 22,473 and 4,038 is: 6,057

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,982 : 22,473 = 4,038 : x
  2. Step 2: Convert to fraction form
    14,982/22,473 = 4,038/x
  3. Step 3: Cross multiply
    14,982x = 22,473 × 4,038
  4. Step 4: Simplify right side
    14,982x = 90,745,974
  5. Step 5: Solve for x
    x = 90,745,974/14,982
  6. Step 6: Final answer
    x = 6,057

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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.