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Finding the Fourth Proportional to 11,969.74, 16,482.59 and 11,704.22

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Solution

The fourth proportional to 11,969.74, 16,482.59 and 11,704.22 is: 16,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.74 : 16,482.59 = 11,704.22 : x
  2. Step 2: Convert to fraction form
    11,969.74/16,482.59 = 11,704.22/x
  3. Step 3: Cross multiply
    11,969.74x = 16,482.59 × 11,704.22
  4. Step 4: Simplify right side
    11,969.74x = 192,915,859.53
  5. Step 5: Solve for x
    x = 192,915,859.53/11,969.74
  6. Step 6: Final answer
    x = 16,116.96

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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.