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Finding the Fourth Proportional to 6,514.64, 9,770.08 and 1,834.33

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Solution

The fourth proportional to 6,514.64, 9,770.08 and 1,834.33 is: 2,750.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.64 : 9,770.08 = 1,834.33 : x
  2. Step 2: Convert to fraction form
    6,514.64/9,770.08 = 1,834.33/x
  3. Step 3: Cross multiply
    6,514.64x = 9,770.08 × 1,834.33
  4. Step 4: Simplify right side
    6,514.64x = 17,921,550.85
  5. Step 5: Solve for x
    x = 17,921,550.85/6,514.64
  6. Step 6: Final answer
    x = 2,750.97

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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.