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Finding the Fourth Proportional to 11,969.34, 16,515.19 and 6,933.26

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Solution

The fourth proportional to 11,969.34, 16,515.19 and 6,933.26 is: 9,566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.34 : 16,515.19 = 6,933.26 : x
  2. Step 2: Convert to fraction form
    11,969.34/16,515.19 = 6,933.26/x
  3. Step 3: Cross multiply
    11,969.34x = 16,515.19 × 6,933.26
  4. Step 4: Simplify right side
    11,969.34x = 114,504,106.22
  5. Step 5: Solve for x
    x = 114,504,106.22/11,969.34
  6. Step 6: Final answer
    x = 9,566.45

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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.