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Finding the Fourth Proportional to 14,548, 21,822 and 3,604

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Solution

The fourth proportional to 14,548, 21,822 and 3,604 is: 5,406

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,548 : 21,822 = 3,604 : x
  2. Step 2: Convert to fraction form
    14,548/21,822 = 3,604/x
  3. Step 3: Cross multiply
    14,548x = 21,822 × 3,604
  4. Step 4: Simplify right side
    14,548x = 78,646,488
  5. Step 5: Solve for x
    x = 78,646,488/14,548
  6. Step 6: Final answer
    x = 5,406

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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.