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Finding the Fourth Proportional to 7,178.59, 10,768.20 and 3,845.44

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Solution

The fourth proportional to 7,178.59, 10,768.20 and 3,845.44 is: 5,768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.59 : 10,768.20 = 3,845.44 : x
  2. Step 2: Convert to fraction form
    7,178.59/10,768.20 = 3,845.44/x
  3. Step 3: Cross multiply
    7,178.59x = 10,768.20 × 3,845.44
  4. Step 4: Simplify right side
    7,178.59x = 41,408,467.01
  5. Step 5: Solve for x
    x = 41,408,467.01/7,178.59
  6. Step 6: Final answer
    x = 5,768.33

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1.5x scale

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.