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Finding the Fourth Proportional to 7,083.64, 9,775.22 and 3,896.92

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Solution

The fourth proportional to 7,083.64, 9,775.22 and 3,896.92 is: 5,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.64 : 9,775.22 = 3,896.92 : x
  2. Step 2: Convert to fraction form
    7,083.64/9,775.22 = 3,896.92/x
  3. Step 3: Cross multiply
    7,083.64x = 9,775.22 × 3,896.92
  4. Step 4: Simplify right side
    7,083.64x = 38,093,209.99
  5. Step 5: Solve for x
    x = 38,093,209.99/7,083.64
  6. Step 6: Final answer
    x = 5,377.64

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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.