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Finding the Fourth Proportional to 5,993.16, 8,989.76 and 1,833.15

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Solution

The fourth proportional to 5,993.16, 8,989.76 and 1,833.15 is: 2,749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.16 : 8,989.76 = 1,833.15 : x
  2. Step 2: Convert to fraction form
    5,993.16/8,989.76 = 1,833.15/x
  3. Step 3: Cross multiply
    5,993.16x = 8,989.76 × 1,833.15
  4. Step 4: Simplify right side
    5,993.16x = 16,479,569.38
  5. Step 5: Solve for x
    x = 16,479,569.38/5,993.16
  6. Step 6: Final answer
    x = 2,749.73

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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.