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Finding the Fourth Proportional to 5,446.74, 8,169.96 and 1,749.24

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Solution

The fourth proportional to 5,446.74, 8,169.96 and 1,749.24 is: 2,623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.74 : 8,169.96 = 1,749.24 : x
  2. Step 2: Convert to fraction form
    5,446.74/8,169.96 = 1,749.24/x
  3. Step 3: Cross multiply
    5,446.74x = 8,169.96 × 1,749.24
  4. Step 4: Simplify right side
    5,446.74x = 14,291,220.83
  5. Step 5: Solve for x
    x = 14,291,220.83/5,446.74
  6. Step 6: Final answer
    x = 2,623.81

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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.