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Finding the Fourth Proportional to 5,193, 7,165.26 and 3,514.68

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Solution

The fourth proportional to 5,193, 7,165.26 and 3,514.68 is: 4,849.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193 : 7,165.26 = 3,514.68 : x
  2. Step 2: Convert to fraction form
    5,193/7,165.26 = 3,514.68/x
  3. Step 3: Cross multiply
    5,193x = 7,165.26 × 3,514.68
  4. Step 4: Simplify right side
    5,193x = 25,183,596.02
  5. Step 5: Solve for x
    x = 25,183,596.02/5,193
  6. Step 6: Final answer
    x = 4,849.53

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Double scale
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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.