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Finding the Fourth Proportional to 7,082.64, 9,775.69 and 4,100.22

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Solution

The fourth proportional to 7,082.64, 9,775.69 and 4,100.22 is: 5,659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.64 : 9,775.69 = 4,100.22 : x
  2. Step 2: Convert to fraction form
    7,082.64/9,775.69 = 4,100.22/x
  3. Step 3: Cross multiply
    7,082.64x = 9,775.69 × 4,100.22
  4. Step 4: Simplify right side
    7,082.64x = 40,082,469.40
  5. Step 5: Solve for x
    x = 40,082,469.40/7,082.64
  6. Step 6: Final answer
    x = 5,659.26

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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.