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Finding the Fourth Proportional to 6,617.71, 9,132.57 and 3,633.67

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Solution

The fourth proportional to 6,617.71, 9,132.57 and 3,633.67 is: 5,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.71 : 9,132.57 = 3,633.67 : x
  2. Step 2: Convert to fraction form
    6,617.71/9,132.57 = 3,633.67/x
  3. Step 3: Cross multiply
    6,617.71x = 9,132.57 × 3,633.67
  4. Step 4: Simplify right side
    6,617.71x = 33,184,745.63
  5. Step 5: Solve for x
    x = 33,184,745.63/6,617.71
  6. Step 6: Final answer
    x = 5,014.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.