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Finding the Fourth Proportional to 6,638.42, 9,958.19 and 1,708.05

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Solution

The fourth proportional to 6,638.42, 9,958.19 and 1,708.05 is: 2,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.42 : 9,958.19 = 1,708.05 : x
  2. Step 2: Convert to fraction form
    6,638.42/9,958.19 = 1,708.05/x
  3. Step 3: Cross multiply
    6,638.42x = 9,958.19 × 1,708.05
  4. Step 4: Simplify right side
    6,638.42x = 17,009,086.43
  5. Step 5: Solve for x
    x = 17,009,086.43/6,638.42
  6. Step 6: Final answer
    x = 2,562.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.