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Finding the Fourth Proportional to 7,348.22, 11,020.22 and 2,082.90

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Solution

The fourth proportional to 7,348.22, 11,020.22 and 2,082.90 is: 3,123.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.22 : 11,020.22 = 2,082.90 : x
  2. Step 2: Convert to fraction form
    7,348.22/11,020.22 = 2,082.90/x
  3. Step 3: Cross multiply
    7,348.22x = 11,020.22 × 2,082.90
  4. Step 4: Simplify right side
    7,348.22x = 22,954,016.24
  5. Step 5: Solve for x
    x = 22,954,016.24/7,348.22
  6. Step 6: Final answer
    x = 3,123.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.