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Finding the Fourth Proportional to 12,137.96, 16,742.22 and 7,414.04

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Solution

The fourth proportional to 12,137.96, 16,742.22 and 7,414.04 is: 10,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.96 : 16,742.22 = 7,414.04 : x
  2. Step 2: Convert to fraction form
    12,137.96/16,742.22 = 7,414.04/x
  3. Step 3: Cross multiply
    12,137.96x = 16,742.22 × 7,414.04
  4. Step 4: Simplify right side
    12,137.96x = 124,127,488.77
  5. Step 5: Solve for x
    x = 124,127,488.77/12,137.96
  6. Step 6: Final answer
    x = 10,226.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.