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Finding the Fourth Proportional to 12,137.10, 18,205.65 and 10,905.90

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Solution

The fourth proportional to 12,137.10, 18,205.65 and 10,905.90 is: 16,358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.10 : 18,205.65 = 10,905.90 : x
  2. Step 2: Convert to fraction form
    12,137.10/18,205.65 = 10,905.90/x
  3. Step 3: Cross multiply
    12,137.10x = 18,205.65 × 10,905.90
  4. Step 4: Simplify right side
    12,137.10x = 198,548,998.34
  5. Step 5: Solve for x
    x = 198,548,998.34/12,137.10
  6. Step 6: Final answer
    x = 16,358.85

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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.