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Finding the Fourth Proportional to 14,542, 21,813 and 3,598

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Solution

The fourth proportional to 14,542, 21,813 and 3,598 is: 5,397

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542 : 21,813 = 3,598 : x
  2. Step 2: Convert to fraction form
    14,542/21,813 = 3,598/x
  3. Step 3: Cross multiply
    14,542x = 21,813 × 3,598
  4. Step 4: Simplify right side
    14,542x = 78,483,174
  5. Step 5: Solve for x
    x = 78,483,174/14,542
  6. Step 6: Final answer
    x = 5,397

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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.