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Finding the Fourth Proportional to 6,705.62, 10,063.88 and 3,419.64

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Solution

The fourth proportional to 6,705.62, 10,063.88 and 3,419.64 is: 5,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.62 : 10,063.88 = 3,419.64 : x
  2. Step 2: Convert to fraction form
    6,705.62/10,063.88 = 3,419.64/x
  3. Step 3: Cross multiply
    6,705.62x = 10,063.88 × 3,419.64
  4. Step 4: Simplify right side
    6,705.62x = 34,414,846.60
  5. Step 5: Solve for x
    x = 34,414,846.60/6,705.62
  6. Step 6: Final answer
    x = 5,132.24

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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.