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Finding the Fourth Proportional to 5,163.06, 7,745.46 and 1,699.50

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Solution

The fourth proportional to 5,163.06, 7,745.46 and 1,699.50 is: 2,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.06 : 7,745.46 = 1,699.50 : x
  2. Step 2: Convert to fraction form
    5,163.06/7,745.46 = 1,699.50/x
  3. Step 3: Cross multiply
    5,163.06x = 7,745.46 × 1,699.50
  4. Step 4: Simplify right side
    5,163.06x = 13,163,409.27
  5. Step 5: Solve for x
    x = 13,163,409.27/5,163.06
  6. Step 6: Final answer
    x = 2,549.54

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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.