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Finding the Fourth Proportional to 6,504.84, 9,756.56 and 2,121.96

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Solution

The fourth proportional to 6,504.84, 9,756.56 and 2,121.96 is: 3,182.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.84 : 9,756.56 = 2,121.96 : x
  2. Step 2: Convert to fraction form
    6,504.84/9,756.56 = 2,121.96/x
  3. Step 3: Cross multiply
    6,504.84x = 9,756.56 × 2,121.96
  4. Step 4: Simplify right side
    6,504.84x = 20,703,030.06
  5. Step 5: Solve for x
    x = 20,703,030.06/6,504.84
  6. Step 6: Final answer
    x = 3,182.71

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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.