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Finding the Fourth Proportional to 9,678, 14,519.16 and 3,522

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Solution

The fourth proportional to 9,678, 14,519.16 and 3,522 is: 5,283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678 : 14,519.16 = 3,522 : x
  2. Step 2: Convert to fraction form
    9,678/14,519.16 = 3,522/x
  3. Step 3: Cross multiply
    9,678x = 14,519.16 × 3,522
  4. Step 4: Simplify right side
    9,678x = 51,136,481.52
  5. Step 5: Solve for x
    x = 51,136,481.52/9,678
  6. Step 6: Final answer
    x = 5,283.79

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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.