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Finding the Fourth Proportional to 5,995.96, 8,992.67 and 1,613.45

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Solution

The fourth proportional to 5,995.96, 8,992.67 and 1,613.45 is: 2,419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995.96 : 8,992.67 = 1,613.45 : x
  2. Step 2: Convert to fraction form
    5,995.96/8,992.67 = 1,613.45/x
  3. Step 3: Cross multiply
    5,995.96x = 8,992.67 × 1,613.45
  4. Step 4: Simplify right side
    5,995.96x = 14,509,249.93
  5. Step 5: Solve for x
    x = 14,509,249.93/5,995.96
  6. Step 6: Final answer
    x = 2,419.84

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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.