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Finding the Fourth Proportional to 6,595.89, 9,892.92 and 1,665.23

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Solution

The fourth proportional to 6,595.89, 9,892.92 and 1,665.23 is: 2,497.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.89 : 9,892.92 = 1,665.23 : x
  2. Step 2: Convert to fraction form
    6,595.89/9,892.92 = 1,665.23/x
  3. Step 3: Cross multiply
    6,595.89x = 9,892.92 × 1,665.23
  4. Step 4: Simplify right side
    6,595.89x = 16,473,937.71
  5. Step 5: Solve for x
    x = 16,473,937.71/6,595.89
  6. Step 6: Final answer
    x = 2,497.61

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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.