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Finding the Fourth Proportional to 5,460.75, 8,192.87 and 1,950.69

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Solution

The fourth proportional to 5,460.75, 8,192.87 and 1,950.69 is: 2,926.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.75 : 8,192.87 = 1,950.69 : x
  2. Step 2: Convert to fraction form
    5,460.75/8,192.87 = 1,950.69/x
  3. Step 3: Cross multiply
    5,460.75x = 8,192.87 × 1,950.69
  4. Step 4: Simplify right side
    5,460.75x = 15,981,739.83
  5. Step 5: Solve for x
    x = 15,981,739.83/5,460.75
  6. Step 6: Final answer
    x = 2,926.66

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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.