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Finding the Fourth Proportional to 6,596.84, 9,896.76 and 2,154.75

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Solution

The fourth proportional to 6,596.84, 9,896.76 and 2,154.75 is: 3,232.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.84 : 9,896.76 = 2,154.75 : x
  2. Step 2: Convert to fraction form
    6,596.84/9,896.76 = 2,154.75/x
  3. Step 3: Cross multiply
    6,596.84x = 9,896.76 × 2,154.75
  4. Step 4: Simplify right side
    6,596.84x = 21,325,043.61
  5. Step 5: Solve for x
    x = 21,325,043.61/6,596.84
  6. Step 6: Final answer
    x = 3,232.62

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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.