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Finding the Fourth Proportional to 7,163.75, 10,746.23 and 1,969.63

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Solution

The fourth proportional to 7,163.75, 10,746.23 and 1,969.63 is: 2,954.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.75 : 10,746.23 = 1,969.63 : x
  2. Step 2: Convert to fraction form
    7,163.75/10,746.23 = 1,969.63/x
  3. Step 3: Cross multiply
    7,163.75x = 10,746.23 × 1,969.63
  4. Step 4: Simplify right side
    7,163.75x = 21,166,096.99
  5. Step 5: Solve for x
    x = 21,166,096.99/7,163.75
  6. Step 6: Final answer
    x = 2,954.61

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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.