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Finding the Fourth Proportional to 10,487.50, 14,469.49 and 5,949.44

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Solution

The fourth proportional to 10,487.50, 14,469.49 and 5,949.44 is: 8,208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.50 : 14,469.49 = 5,949.44 : x
  2. Step 2: Convert to fraction form
    10,487.50/14,469.49 = 5,949.44/x
  3. Step 3: Cross multiply
    10,487.50x = 14,469.49 × 5,949.44
  4. Step 4: Simplify right side
    10,487.50x = 86,085,290.24
  5. Step 5: Solve for x
    x = 86,085,290.24/10,487.50
  6. Step 6: Final answer
    x = 8,208.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.