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Finding the Fourth Proportional to 11,859.51, 16,364.46 and 6,821.81

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Solution

The fourth proportional to 11,859.51, 16,364.46 and 6,821.81 is: 9,413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.51 : 16,364.46 = 6,821.81 : x
  2. Step 2: Convert to fraction form
    11,859.51/16,364.46 = 6,821.81/x
  3. Step 3: Cross multiply
    11,859.51x = 16,364.46 × 6,821.81
  4. Step 4: Simplify right side
    11,859.51x = 111,635,236.87
  5. Step 5: Solve for x
    x = 111,635,236.87/11,859.51
  6. Step 6: Final answer
    x = 9,413.14

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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.