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Finding the Fourth Proportional to 5,996.32, 8,994.64 and 1,613.78

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Solution

The fourth proportional to 5,996.32, 8,994.64 and 1,613.78 is: 2,420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.32 : 8,994.64 = 1,613.78 : x
  2. Step 2: Convert to fraction form
    5,996.32/8,994.64 = 1,613.78/x
  3. Step 3: Cross multiply
    5,996.32x = 8,994.64 × 1,613.78
  4. Step 4: Simplify right side
    5,996.32x = 14,515,370.14
  5. Step 5: Solve for x
    x = 14,515,370.14/5,996.32
  6. Step 6: Final answer
    x = 2,420.71

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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.