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Finding the Fourth Proportional to 8,284.44, 12,429.71 and 3,844.23

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Solution

The fourth proportional to 8,284.44, 12,429.71 and 3,844.23 is: 5,767.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.44 : 12,429.71 = 3,844.23 : x
  2. Step 2: Convert to fraction form
    8,284.44/12,429.71 = 3,844.23/x
  3. Step 3: Cross multiply
    8,284.44x = 12,429.71 × 3,844.23
  4. Step 4: Simplify right side
    8,284.44x = 47,782,664.07
  5. Step 5: Solve for x
    x = 47,782,664.07/8,284.44
  6. Step 6: Final answer
    x = 5,767.76

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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.