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Finding the Fourth Proportional to 5,082.66, 7,014 and 2,844.54

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Solution

The fourth proportional to 5,082.66, 7,014 and 2,844.54 is: 3,925.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.66 : 7,014 = 2,844.54 : x
  2. Step 2: Convert to fraction form
    5,082.66/7,014 = 2,844.54/x
  3. Step 3: Cross multiply
    5,082.66x = 7,014 × 2,844.54
  4. Step 4: Simplify right side
    5,082.66x = 19,951,603.56
  5. Step 5: Solve for x
    x = 19,951,603.56/5,082.66
  6. Step 6: Final answer
    x = 3,925.43

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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.