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Finding the Fourth Proportional to 6,596.56, 9,894.42 and 1,666.18

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Solution

The fourth proportional to 6,596.56, 9,894.42 and 1,666.18 is: 2,499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.56 : 9,894.42 = 1,666.18 : x
  2. Step 2: Convert to fraction form
    6,596.56/9,894.42 = 1,666.18/x
  3. Step 3: Cross multiply
    6,596.56x = 9,894.42 × 1,666.18
  4. Step 4: Simplify right side
    6,596.56x = 16,485,884.72
  5. Step 5: Solve for x
    x = 16,485,884.72/6,596.56
  6. Step 6: Final answer
    x = 2,499.16

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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.