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Finding the Fourth Proportional to 6,638.88, 9,958 and 1,708.64

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Solution

The fourth proportional to 6,638.88, 9,958 and 1,708.64 is: 2,562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.88 : 9,958 = 1,708.64 : x
  2. Step 2: Convert to fraction form
    6,638.88/9,958 = 1,708.64/x
  3. Step 3: Cross multiply
    6,638.88x = 9,958 × 1,708.64
  4. Step 4: Simplify right side
    6,638.88x = 17,014,637.12
  5. Step 5: Solve for x
    x = 17,014,637.12/6,638.88
  6. Step 6: Final answer
    x = 2,562.88

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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.