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Finding the Fourth Proportional to 12,161.80, 18,114.89 and 11,593

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Solution

The fourth proportional to 12,161.80, 18,114.89 and 11,593 is: 17,267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.80 : 18,114.89 = 11,593 : x
  2. Step 2: Convert to fraction form
    12,161.80/18,114.89 = 11,593/x
  3. Step 3: Cross multiply
    12,161.80x = 18,114.89 × 11,593
  4. Step 4: Simplify right side
    12,161.80x = 210,005,919.77
  5. Step 5: Solve for x
    x = 210,005,919.77/12,161.80
  6. Step 6: Final answer
    x = 17,267.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.