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Finding the Fourth Proportional to 6,652.29, 9,984.57 and 3,367.71

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Solution

The fourth proportional to 6,652.29, 9,984.57 and 3,367.71 is: 5,054.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.29 : 9,984.57 = 3,367.71 : x
  2. Step 2: Convert to fraction form
    6,652.29/9,984.57 = 3,367.71/x
  3. Step 3: Cross multiply
    6,652.29x = 9,984.57 × 3,367.71
  4. Step 4: Simplify right side
    6,652.29x = 33,625,136.23
  5. Step 5: Solve for x
    x = 33,625,136.23/6,652.29
  6. Step 6: Final answer
    x = 5,054.67

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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.