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Finding the Fourth Proportional to 6,362.63, 9,544.22 and 1,745.63

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Solution

The fourth proportional to 6,362.63, 9,544.22 and 1,745.63 is: 2,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.63 : 9,544.22 = 1,745.63 : x
  2. Step 2: Convert to fraction form
    6,362.63/9,544.22 = 1,745.63/x
  3. Step 3: Cross multiply
    6,362.63x = 9,544.22 × 1,745.63
  4. Step 4: Simplify right side
    6,362.63x = 16,660,620.31
  5. Step 5: Solve for x
    x = 16,660,620.31/6,362.63
  6. Step 6: Final answer
    x = 2,618.51

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Double scale
Find fourth proportional to 6,363.63, 9,545.72 and 1,746.63
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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.