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Finding the Fourth Proportional to 5,993.96, 8,271.68 and 3,268.47

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Solution

The fourth proportional to 5,993.96, 8,271.68 and 3,268.47 is: 4,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.96 : 8,271.68 = 3,268.47 : x
  2. Step 2: Convert to fraction form
    5,993.96/8,271.68 = 3,268.47/x
  3. Step 3: Cross multiply
    5,993.96x = 8,271.68 × 3,268.47
  4. Step 4: Simplify right side
    5,993.96x = 27,035,777.12
  5. Step 5: Solve for x
    x = 27,035,777.12/5,993.96
  6. Step 6: Final answer
    x = 4,510.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.