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Finding the Fourth Proportional to 5,674.83, 8,512.91 and 1,514.97

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Solution

The fourth proportional to 5,674.83, 8,512.91 and 1,514.97 is: 2,272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.83 : 8,512.91 = 1,514.97 : x
  2. Step 2: Convert to fraction form
    5,674.83/8,512.91 = 1,514.97/x
  3. Step 3: Cross multiply
    5,674.83x = 8,512.91 × 1,514.97
  4. Step 4: Simplify right side
    5,674.83x = 12,896,795.69
  5. Step 5: Solve for x
    x = 12,896,795.69/5,674.83
  6. Step 6: Final answer
    x = 2,272.63

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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.