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Finding the Fourth Proportional to 11,967.48, 17,951.22 and 9,911.16

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Solution

The fourth proportional to 11,967.48, 17,951.22 and 9,911.16 is: 14,866.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.48 : 17,951.22 = 9,911.16 : x
  2. Step 2: Convert to fraction form
    11,967.48/17,951.22 = 9,911.16/x
  3. Step 3: Cross multiply
    11,967.48x = 17,951.22 × 9,911.16
  4. Step 4: Simplify right side
    11,967.48x = 177,917,413.62
  5. Step 5: Solve for x
    x = 177,917,413.62/11,967.48
  6. Step 6: Final answer
    x = 14,866.74

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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.