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Finding the Fourth Proportional to 6,504.54, 9,751.68 and 2,996.79

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Solution

The fourth proportional to 6,504.54, 9,751.68 and 2,996.79 is: 4,492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.54 : 9,751.68 = 2,996.79 : x
  2. Step 2: Convert to fraction form
    6,504.54/9,751.68 = 2,996.79/x
  3. Step 3: Cross multiply
    6,504.54x = 9,751.68 × 2,996.79
  4. Step 4: Simplify right side
    6,504.54x = 29,223,737.11
  5. Step 5: Solve for x
    x = 29,223,737.11/6,504.54
  6. Step 6: Final answer
    x = 4,492.82

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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.