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Finding the Fourth Proportional to 11,960, 16,506.96 and 6,927.44

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Solution

The fourth proportional to 11,960, 16,506.96 and 6,927.44 is: 9,561.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960 : 16,506.96 = 6,927.44 : x
  2. Step 2: Convert to fraction form
    11,960/16,506.96 = 6,927.44/x
  3. Step 3: Cross multiply
    11,960x = 16,506.96 × 6,927.44
  4. Step 4: Simplify right side
    11,960x = 114,350,974.98
  5. Step 5: Solve for x
    x = 114,350,974.98/11,960
  6. Step 6: Final answer
    x = 9,561.12

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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.