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Finding the Fourth Proportional to 20,033.25, 30,054.74 and 6,182.25

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Solution

The fourth proportional to 20,033.25, 30,054.74 and 6,182.25 is: 9,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,033.25 : 30,054.74 = 6,182.25 : x
  2. Step 2: Convert to fraction form
    20,033.25/30,054.74 = 6,182.25/x
  3. Step 3: Cross multiply
    20,033.25x = 30,054.74 × 6,182.25
  4. Step 4: Simplify right side
    20,033.25x = 185,805,885.45
  5. Step 5: Solve for x
    x = 185,805,885.45/20,033.25
  6. Step 6: Final answer
    x = 9,274.87

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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.