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Finding the Fourth Proportional to 5,662.83, 7,814.34 and 3,144.94

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Solution

The fourth proportional to 5,662.83, 7,814.34 and 3,144.94 is: 4,339.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.83 : 7,814.34 = 3,144.94 : x
  2. Step 2: Convert to fraction form
    5,662.83/7,814.34 = 3,144.94/x
  3. Step 3: Cross multiply
    5,662.83x = 7,814.34 × 3,144.94
  4. Step 4: Simplify right side
    5,662.83x = 24,575,630.44
  5. Step 5: Solve for x
    x = 24,575,630.44/5,662.83
  6. Step 6: Final answer
    x = 4,339.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.