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Finding the Fourth Proportional to 6,969.84, 10,456.58 and 2,039.64

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Solution

The fourth proportional to 6,969.84, 10,456.58 and 2,039.64 is: 3,059.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.84 : 10,456.58 = 2,039.64 : x
  2. Step 2: Convert to fraction form
    6,969.84/10,456.58 = 2,039.64/x
  3. Step 3: Cross multiply
    6,969.84x = 10,456.58 × 2,039.64
  4. Step 4: Simplify right side
    6,969.84x = 21,327,658.83
  5. Step 5: Solve for x
    x = 21,327,658.83/6,969.84
  6. Step 6: Final answer
    x = 3,059.99

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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.