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Finding the Fourth Proportional to 7,082.64, 10,578.65 and 6,414.54

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Solution

The fourth proportional to 7,082.64, 10,578.65 and 6,414.54 is: 9,580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.64 : 10,578.65 = 6,414.54 : x
  2. Step 2: Convert to fraction form
    7,082.64/10,578.65 = 6,414.54/x
  3. Step 3: Cross multiply
    7,082.64x = 10,578.65 × 6,414.54
  4. Step 4: Simplify right side
    7,082.64x = 67,857,173.57
  5. Step 5: Solve for x
    x = 67,857,173.57/7,082.64
  6. Step 6: Final answer
    x = 9,580.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.