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Finding the Fourth Proportional to 6,424.14, 9,636.07 and 2,961.39

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Solution

The fourth proportional to 6,424.14, 9,636.07 and 2,961.39 is: 4,442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.14 : 9,636.07 = 2,961.39 : x
  2. Step 2: Convert to fraction form
    6,424.14/9,636.07 = 2,961.39/x
  3. Step 3: Cross multiply
    6,424.14x = 9,636.07 × 2,961.39
  4. Step 4: Simplify right side
    6,424.14x = 28,536,161.34
  5. Step 5: Solve for x
    x = 28,536,161.34/6,424.14
  6. Step 6: Final answer
    x = 4,442.02

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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.