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Finding the Fourth Proportional to 6,638.05, 9,957.63 and 1,707.68

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Solution

The fourth proportional to 6,638.05, 9,957.63 and 1,707.68 is: 2,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.05 : 9,957.63 = 1,707.68 : x
  2. Step 2: Convert to fraction form
    6,638.05/9,957.63 = 1,707.68/x
  3. Step 3: Cross multiply
    6,638.05x = 9,957.63 × 1,707.68
  4. Step 4: Simplify right side
    6,638.05x = 17,004,416.44
  5. Step 5: Solve for x
    x = 17,004,416.44/6,638.05
  6. Step 6: Final answer
    x = 2,561.66

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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.