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Finding the Fourth Proportional to 19,648.54, 29,469.89 and 7,165.63

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Solution

The fourth proportional to 19,648.54, 29,469.89 and 7,165.63 is: 10,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648.54 : 29,469.89 = 7,165.63 : x
  2. Step 2: Convert to fraction form
    19,648.54/29,469.89 = 7,165.63/x
  3. Step 3: Cross multiply
    19,648.54x = 29,469.89 × 7,165.63
  4. Step 4: Simplify right side
    19,648.54x = 211,170,292.05
  5. Step 5: Solve for x
    x = 211,170,292.05/19,648.54
  6. Step 6: Final answer
    x = 10,747.38

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1.5x scale

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.