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Finding the Fourth Proportional to 12,641.92, 18,963.12 and 3,408.16

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Solution

The fourth proportional to 12,641.92, 18,963.12 and 3,408.16 is: 5,112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.92 : 18,963.12 = 3,408.16 : x
  2. Step 2: Convert to fraction form
    12,641.92/18,963.12 = 3,408.16/x
  3. Step 3: Cross multiply
    12,641.92x = 18,963.12 × 3,408.16
  4. Step 4: Simplify right side
    12,641.92x = 64,629,347.06
  5. Step 5: Solve for x
    x = 64,629,347.06/12,641.92
  6. Step 6: Final answer
    x = 5,112.30

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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.