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Finding the Fourth Proportional to 6,082.44, 9,124.16 and 1,922.69

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Solution

The fourth proportional to 6,082.44, 9,124.16 and 1,922.69 is: 2,884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.44 : 9,124.16 = 1,922.69 : x
  2. Step 2: Convert to fraction form
    6,082.44/9,124.16 = 1,922.69/x
  3. Step 3: Cross multiply
    6,082.44x = 9,124.16 × 1,922.69
  4. Step 4: Simplify right side
    6,082.44x = 17,542,931.19
  5. Step 5: Solve for x
    x = 17,542,931.19/6,082.44
  6. Step 6: Final answer
    x = 2,884.19

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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.