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Finding the Fourth Proportional to 8,022.63, 12,034.41 and 3,640.44

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Solution

The fourth proportional to 8,022.63, 12,034.41 and 3,640.44 is: 5,460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.63 : 12,034.41 = 3,640.44 : x
  2. Step 2: Convert to fraction form
    8,022.63/12,034.41 = 3,640.44/x
  3. Step 3: Cross multiply
    8,022.63x = 12,034.41 × 3,640.44
  4. Step 4: Simplify right side
    8,022.63x = 43,810,547.54
  5. Step 5: Solve for x
    x = 43,810,547.54/8,022.63
  6. Step 6: Final answer
    x = 5,460.87

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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.