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Finding the Fourth Proportional to 11,771.85, 16,238.36 and 7,053.39

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Solution

The fourth proportional to 11,771.85, 16,238.36 and 7,053.39 is: 9,729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.85 : 16,238.36 = 7,053.39 : x
  2. Step 2: Convert to fraction form
    11,771.85/16,238.36 = 7,053.39/x
  3. Step 3: Cross multiply
    11,771.85x = 16,238.36 × 7,053.39
  4. Step 4: Simplify right side
    11,771.85x = 114,535,450.77
  5. Step 5: Solve for x
    x = 114,535,450.77/11,771.85
  6. Step 6: Final answer
    x = 9,729.61

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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.