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Finding the Fourth Proportional to 11,859.66, 16,379.54 and 9,203

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Solution

The fourth proportional to 11,859.66, 16,379.54 and 9,203 is: 12,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.66 : 16,379.54 = 9,203 : x
  2. Step 2: Convert to fraction form
    11,859.66/16,379.54 = 9,203/x
  3. Step 3: Cross multiply
    11,859.66x = 16,379.54 × 9,203
  4. Step 4: Simplify right side
    11,859.66x = 150,740,906.62
  5. Step 5: Solve for x
    x = 150,740,906.62/11,859.66
  6. Step 6: Final answer
    x = 12,710.39

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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.