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Finding the Fourth Proportional to 6,595.96, 9,893.92 and 1,665.98

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Solution

The fourth proportional to 6,595.96, 9,893.92 and 1,665.98 is: 2,498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.96 : 9,893.92 = 1,665.98 : x
  2. Step 2: Convert to fraction form
    6,595.96/9,893.92 = 1,665.98/x
  3. Step 3: Cross multiply
    6,595.96x = 9,893.92 × 1,665.98
  4. Step 4: Simplify right side
    6,595.96x = 16,483,072.84
  5. Step 5: Solve for x
    x = 16,483,072.84/6,595.96
  6. Step 6: Final answer
    x = 2,498.96

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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.