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Finding the Fourth Proportional to 11,969.22, 16,518.42 and 6,934.80

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Solution

The fourth proportional to 11,969.22, 16,518.42 and 6,934.80 is: 9,570.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.22 : 16,518.42 = 6,934.80 : x
  2. Step 2: Convert to fraction form
    11,969.22/16,518.42 = 6,934.80/x
  3. Step 3: Cross multiply
    11,969.22x = 16,518.42 × 6,934.80
  4. Step 4: Simplify right side
    11,969.22x = 114,551,939.02
  5. Step 5: Solve for x
    x = 114,551,939.02/11,969.22
  6. Step 6: Final answer
    x = 9,570.54

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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.