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Finding the Fourth Proportional to 6,698.49, 10,039.77 and 5,049.60

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Solution

The fourth proportional to 6,698.49, 10,039.77 and 5,049.60 is: 7,568.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.49 : 10,039.77 = 5,049.60 : x
  2. Step 2: Convert to fraction form
    6,698.49/10,039.77 = 5,049.60/x
  3. Step 3: Cross multiply
    6,698.49x = 10,039.77 × 5,049.60
  4. Step 4: Simplify right side
    6,698.49x = 50,696,822.59
  5. Step 5: Solve for x
    x = 50,696,822.59/6,698.49
  6. Step 6: Final answer
    x = 7,568.40

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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.