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Finding the Fourth Proportional to 6,592.96, 9,889.42 and 1,662.99

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Solution

The fourth proportional to 6,592.96, 9,889.42 and 1,662.99 is: 2,494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.96 : 9,889.42 = 1,662.99 : x
  2. Step 2: Convert to fraction form
    6,592.96/9,889.42 = 1,662.99/x
  3. Step 3: Cross multiply
    6,592.96x = 9,889.42 × 1,662.99
  4. Step 4: Simplify right side
    6,592.96x = 16,446,006.57
  5. Step 5: Solve for x
    x = 16,446,006.57/6,592.96
  6. Step 6: Final answer
    x = 2,494.48

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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.