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Finding the Fourth Proportional to 16,209.63, 24,297.70 and 6,211.63

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Solution

The fourth proportional to 16,209.63, 24,297.70 and 6,211.63 is: 9,311.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.63 : 24,297.70 = 6,211.63 : x
  2. Step 2: Convert to fraction form
    16,209.63/24,297.70 = 6,211.63/x
  3. Step 3: Cross multiply
    16,209.63x = 24,297.70 × 6,211.63
  4. Step 4: Simplify right side
    16,209.63x = 150,928,322.25
  5. Step 5: Solve for x
    x = 150,928,322.25/16,209.63
  6. Step 6: Final answer
    x = 9,311.03

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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.