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Finding the Fourth Proportional to 7,745.49, 11,595.96 and 7,198.74

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Solution

The fourth proportional to 7,745.49, 11,595.96 and 7,198.74 is: 10,777.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.49 : 11,595.96 = 7,198.74 : x
  2. Step 2: Convert to fraction form
    7,745.49/11,595.96 = 7,198.74/x
  3. Step 3: Cross multiply
    7,745.49x = 11,595.96 × 7,198.74
  4. Step 4: Simplify right side
    7,745.49x = 83,476,301.09
  5. Step 5: Solve for x
    x = 83,476,301.09/7,745.49
  6. Step 6: Final answer
    x = 10,777.41

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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.