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Finding the Fourth Proportional to 5,993.46, 8,971.56 and 3,798.90

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Solution

The fourth proportional to 5,993.46, 8,971.56 and 3,798.90 is: 5,686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.46 : 8,971.56 = 3,798.90 : x
  2. Step 2: Convert to fraction form
    5,993.46/8,971.56 = 3,798.90/x
  3. Step 3: Cross multiply
    5,993.46x = 8,971.56 × 3,798.90
  4. Step 4: Simplify right side
    5,993.46x = 34,082,059.28
  5. Step 5: Solve for x
    x = 34,082,059.28/5,993.46
  6. Step 6: Final answer
    x = 5,686.54

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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.