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Finding the Fourth Proportional to 6,496.09, 8,964.55 and 3,511.90

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Solution

The fourth proportional to 6,496.09, 8,964.55 and 3,511.90 is: 4,846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.09 : 8,964.55 = 3,511.90 : x
  2. Step 2: Convert to fraction form
    6,496.09/8,964.55 = 3,511.90/x
  3. Step 3: Cross multiply
    6,496.09x = 8,964.55 × 3,511.90
  4. Step 4: Simplify right side
    6,496.09x = 31,482,603.15
  5. Step 5: Solve for x
    x = 31,482,603.15/6,496.09
  6. Step 6: Final answer
    x = 4,846.39

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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.