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Finding the Fourth Proportional to 6,403.70, 9,606.78 and 2,705.90

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Solution

The fourth proportional to 6,403.70, 9,606.78 and 2,705.90 is: 4,059.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.70 : 9,606.78 = 2,705.90 : x
  2. Step 2: Convert to fraction form
    6,403.70/9,606.78 = 2,705.90/x
  3. Step 3: Cross multiply
    6,403.70x = 9,606.78 × 2,705.90
  4. Step 4: Simplify right side
    6,403.70x = 25,994,986.00
  5. Step 5: Solve for x
    x = 25,994,986.00/6,403.70
  6. Step 6: Final answer
    x = 4,059.37

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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.