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Finding the Fourth Proportional to 9,163.74, 13,748.74 and 3,898.54

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Solution

The fourth proportional to 9,163.74, 13,748.74 and 3,898.54 is: 5,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.74 : 13,748.74 = 3,898.54 : x
  2. Step 2: Convert to fraction form
    9,163.74/13,748.74 = 3,898.54/x
  3. Step 3: Cross multiply
    9,163.74x = 13,748.74 × 3,898.54
  4. Step 4: Simplify right side
    9,163.74x = 53,600,012.84
  5. Step 5: Solve for x
    x = 53,600,012.84/9,163.74
  6. Step 6: Final answer
    x = 5,849.14

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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.