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Finding the Fourth Proportional to 9,396.49, 14,082.49 and 5,236.33

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Solution

The fourth proportional to 9,396.49, 14,082.49 and 5,236.33 is: 7,847.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.49 : 14,082.49 = 5,236.33 : x
  2. Step 2: Convert to fraction form
    9,396.49/14,082.49 = 5,236.33/x
  3. Step 3: Cross multiply
    9,396.49x = 14,082.49 × 5,236.33
  4. Step 4: Simplify right side
    9,396.49x = 73,740,468.27
  5. Step 5: Solve for x
    x = 73,740,468.27/9,396.49
  6. Step 6: Final answer
    x = 7,847.67

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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.