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Finding the Fourth Proportional to 8,184.75, 12,277.26 and 2,028.75

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Solution

The fourth proportional to 8,184.75, 12,277.26 and 2,028.75 is: 3,043.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.75 : 12,277.26 = 2,028.75 : x
  2. Step 2: Convert to fraction form
    8,184.75/12,277.26 = 2,028.75/x
  3. Step 3: Cross multiply
    8,184.75x = 12,277.26 × 2,028.75
  4. Step 4: Simplify right side
    8,184.75x = 24,907,491.23
  5. Step 5: Solve for x
    x = 24,907,491.23/8,184.75
  6. Step 6: Final answer
    x = 3,043.16

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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.