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Finding the Fourth Proportional to 7,082.43, 9,776.39 and 6,083.70

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Solution

The fourth proportional to 7,082.43, 9,776.39 and 6,083.70 is: 8,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.43 : 9,776.39 = 6,083.70 : x
  2. Step 2: Convert to fraction form
    7,082.43/9,776.39 = 6,083.70/x
  3. Step 3: Cross multiply
    7,082.43x = 9,776.39 × 6,083.70
  4. Step 4: Simplify right side
    7,082.43x = 59,476,593.42
  5. Step 5: Solve for x
    x = 59,476,593.42/7,082.43
  6. Step 6: Final answer
    x = 8,397.77

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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.