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Finding the Fourth Proportional to 11,860.50, 16,365.84 and 6,822.81

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Solution

The fourth proportional to 11,860.50, 16,365.84 and 6,822.81 is: 9,414.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.50 : 16,365.84 = 6,822.81 : x
  2. Step 2: Convert to fraction form
    11,860.50/16,365.84 = 6,822.81/x
  3. Step 3: Cross multiply
    11,860.50x = 16,365.84 × 6,822.81
  4. Step 4: Simplify right side
    11,860.50x = 111,661,016.81
  5. Step 5: Solve for x
    x = 111,661,016.81/11,860.50
  6. Step 6: Final answer
    x = 9,414.53

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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.