Home / 6,514-9,773.83-2,566.46

Finding the Fourth Proportional to 6,514, 9,773.83 and 2,566.46

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Solution

The fourth proportional to 6,514, 9,773.83 and 2,566.46 is: 3,850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514 : 9,773.83 = 2,566.46 : x
  2. Step 2: Convert to fraction form
    6,514/9,773.83 = 2,566.46/x
  3. Step 3: Cross multiply
    6,514x = 9,773.83 × 2,566.46
  4. Step 4: Simplify right side
    6,514x = 25,084,143.74
  5. Step 5: Solve for x
    x = 25,084,143.74/6,514
  6. Step 6: Final answer
    x = 3,850.80

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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.