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Finding the Fourth Proportional to 7,706.91, 11,551.14 and 3,954.84

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Solution

The fourth proportional to 7,706.91, 11,551.14 and 3,954.84 is: 5,927.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.91 : 11,551.14 = 3,954.84 : x
  2. Step 2: Convert to fraction form
    7,706.91/11,551.14 = 3,954.84/x
  3. Step 3: Cross multiply
    7,706.91x = 11,551.14 × 3,954.84
  4. Step 4: Simplify right side
    7,706.91x = 45,682,890.74
  5. Step 5: Solve for x
    x = 45,682,890.74/7,706.91
  6. Step 6: Final answer
    x = 5,927.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.