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Finding the Fourth Proportional to 7,993.61, 11,988.74 and 2,150.27

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Solution

The fourth proportional to 7,993.61, 11,988.74 and 2,150.27 is: 3,224.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.61 : 11,988.74 = 2,150.27 : x
  2. Step 2: Convert to fraction form
    7,993.61/11,988.74 = 2,150.27/x
  3. Step 3: Cross multiply
    7,993.61x = 11,988.74 × 2,150.27
  4. Step 4: Simplify right side
    7,993.61x = 25,779,017.21
  5. Step 5: Solve for x
    x = 25,779,017.21/7,993.61
  6. Step 6: Final answer
    x = 3,224.95

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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.