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Finding the Fourth Proportional to 6,637.37, 9,956.13 and 1,706.87

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Solution

The fourth proportional to 6,637.37, 9,956.13 and 1,706.87 is: 2,560.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,637.37 : 9,956.13 = 1,706.87 : x
  2. Step 2: Convert to fraction form
    6,637.37/9,956.13 = 1,706.87/x
  3. Step 3: Cross multiply
    6,637.37x = 9,956.13 × 1,706.87
  4. Step 4: Simplify right side
    6,637.37x = 16,993,866.37
  5. Step 5: Solve for x
    x = 16,993,866.37/6,637.37
  6. Step 6: Final answer
    x = 2,560.33

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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.