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Finding the Fourth Proportional to 6,436.53, 9,662.09 and 2,543.67

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Solution

The fourth proportional to 6,436.53, 9,662.09 and 2,543.67 is: 3,818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.53 : 9,662.09 = 2,543.67 : x
  2. Step 2: Convert to fraction form
    6,436.53/9,662.09 = 2,543.67/x
  3. Step 3: Cross multiply
    6,436.53x = 9,662.09 × 2,543.67
  4. Step 4: Simplify right side
    6,436.53x = 24,577,155.75
  5. Step 5: Solve for x
    x = 24,577,155.75/6,436.53
  6. Step 6: Final answer
    x = 3,818.39

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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.