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Finding the Fourth Proportional to 7,596.67, 11,395 and 3,896.84

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Solution

The fourth proportional to 7,596.67, 11,395 and 3,896.84 is: 5,845.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596.67 : 11,395 = 3,896.84 : x
  2. Step 2: Convert to fraction form
    7,596.67/11,395 = 3,896.84/x
  3. Step 3: Cross multiply
    7,596.67x = 11,395 × 3,896.84
  4. Step 4: Simplify right side
    7,596.67x = 44,404,491.80
  5. Step 5: Solve for x
    x = 44,404,491.80/7,596.67
  6. Step 6: Final answer
    x = 5,845.26

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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.