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Finding the Fourth Proportional to 25,993.56, 38,995.14 and 8,228.70

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Solution

The fourth proportional to 25,993.56, 38,995.14 and 8,228.70 is: 12,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,993.56 : 38,995.14 = 8,228.70 : x
  2. Step 2: Convert to fraction form
    25,993.56/38,995.14 = 8,228.70/x
  3. Step 3: Cross multiply
    25,993.56x = 38,995.14 × 8,228.70
  4. Step 4: Simplify right side
    25,993.56x = 320,879,308.52
  5. Step 5: Solve for x
    x = 320,879,308.52/25,993.56
  6. Step 6: Final answer
    x = 12,344.57

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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.