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Finding the Fourth Proportional to 6,071.79, 8,378.79 and 4,082.03

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Solution

The fourth proportional to 6,071.79, 8,378.79 and 4,082.03 is: 5,633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.79 : 8,378.79 = 4,082.03 : x
  2. Step 2: Convert to fraction form
    6,071.79/8,378.79 = 4,082.03/x
  3. Step 3: Cross multiply
    6,071.79x = 8,378.79 × 4,082.03
  4. Step 4: Simplify right side
    6,071.79x = 34,202,469.32
  5. Step 5: Solve for x
    x = 34,202,469.32/6,071.79
  6. Step 6: Final answer
    x = 5,633.01

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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.