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Finding the Fourth Proportional to 5,662.37, 7,814.07 and 3,144.49

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Solution

The fourth proportional to 5,662.37, 7,814.07 and 3,144.49 is: 4,339.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.37 : 7,814.07 = 3,144.49 : x
  2. Step 2: Convert to fraction form
    5,662.37/7,814.07 = 3,144.49/x
  3. Step 3: Cross multiply
    5,662.37x = 7,814.07 × 3,144.49
  4. Step 4: Simplify right side
    5,662.37x = 24,571,245.44
  5. Step 5: Solve for x
    x = 24,571,245.44/5,662.37
  6. Step 6: Final answer
    x = 4,339.39

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Half scale
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Double scale
Find fourth proportional to 5,663.37, 7,815.45 and 3,145.49
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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.