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Finding the Fourth Proportional to 10,694.57, 16,044.59 and 4,452.50

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Solution

The fourth proportional to 10,694.57, 16,044.59 and 4,452.50 is: 6,679.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.57 : 16,044.59 = 4,452.50 : x
  2. Step 2: Convert to fraction form
    10,694.57/16,044.59 = 4,452.50/x
  3. Step 3: Cross multiply
    10,694.57x = 16,044.59 × 4,452.50
  4. Step 4: Simplify right side
    10,694.57x = 71,438,554.82
  5. Step 5: Solve for x
    x = 71,438,554.82/10,694.57
  6. Step 6: Final answer
    x = 6,679.89

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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.