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Finding the Fourth Proportional to 6,121.44, 9,182.09 and 1,504.44

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Solution

The fourth proportional to 6,121.44, 9,182.09 and 1,504.44 is: 2,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121.44 : 9,182.09 = 1,504.44 : x
  2. Step 2: Convert to fraction form
    6,121.44/9,182.09 = 1,504.44/x
  3. Step 3: Cross multiply
    6,121.44x = 9,182.09 × 1,504.44
  4. Step 4: Simplify right side
    6,121.44x = 13,813,907.24
  5. Step 5: Solve for x
    x = 13,813,907.24/6,121.44
  6. Step 6: Final answer
    x = 2,256.64

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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.