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Finding the Fourth Proportional to 11,884.36, 16,413.36 and 7,922.28

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Solution

The fourth proportional to 11,884.36, 16,413.36 and 7,922.28 is: 10,941.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.36 : 16,413.36 = 7,922.28 : x
  2. Step 2: Convert to fraction form
    11,884.36/16,413.36 = 7,922.28/x
  3. Step 3: Cross multiply
    11,884.36x = 16,413.36 × 7,922.28
  4. Step 4: Simplify right side
    11,884.36x = 130,031,233.66
  5. Step 5: Solve for x
    x = 130,031,233.66/11,884.36
  6. Step 6: Final answer
    x = 10,941.37

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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.