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Finding the Fourth Proportional to 6,596.64, 9,896.06 and 2,436.65

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Solution

The fourth proportional to 6,596.64, 9,896.06 and 2,436.65 is: 3,655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.64 : 9,896.06 = 2,436.65 : x
  2. Step 2: Convert to fraction form
    6,596.64/9,896.06 = 2,436.65/x
  3. Step 3: Cross multiply
    6,596.64x = 9,896.06 × 2,436.65
  4. Step 4: Simplify right side
    6,596.64x = 24,113,247.16
  5. Step 5: Solve for x
    x = 24,113,247.16/6,596.64
  6. Step 6: Final answer
    x = 3,655.39

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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.