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Finding the Fourth Proportional to 6,514.16, 9,771.89 and 1,834.16

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Solution

The fourth proportional to 6,514.16, 9,771.89 and 1,834.16 is: 2,751.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.16 : 9,771.89 = 1,834.16 : x
  2. Step 2: Convert to fraction form
    6,514.16/9,771.89 = 1,834.16/x
  3. Step 3: Cross multiply
    6,514.16x = 9,771.89 × 1,834.16
  4. Step 4: Simplify right side
    6,514.16x = 17,923,151.73
  5. Step 5: Solve for x
    x = 17,923,151.73/6,514.16
  6. Step 6: Final answer
    x = 2,751.42

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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.