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Finding the Fourth Proportional to 6,082.40, 8,524 and 6,082.40

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Solution

The fourth proportional to 6,082.40, 8,524 and 6,082.40 is: 8,524

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.40 : 8,524 = 6,082.40 : x
  2. Step 2: Convert to fraction form
    6,082.40/8,524 = 6,082.40/x
  3. Step 3: Cross multiply
    6,082.40x = 8,524 × 6,082.40
  4. Step 4: Simplify right side
    6,082.40x = 51,846,377.60
  5. Step 5: Solve for x
    x = 51,846,377.60/6,082.40
  6. Step 6: Final answer
    x = 8,524

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.