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Finding the Fourth Proportional to 6,698.80, 10,048.20 and 4,106.80

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Solution

The fourth proportional to 6,698.80, 10,048.20 and 4,106.80 is: 6,160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.80 : 10,048.20 = 4,106.80 : x
  2. Step 2: Convert to fraction form
    6,698.80/10,048.20 = 4,106.80/x
  3. Step 3: Cross multiply
    6,698.80x = 10,048.20 × 4,106.80
  4. Step 4: Simplify right side
    6,698.80x = 41,265,947.76
  5. Step 5: Solve for x
    x = 41,265,947.76/6,698.80
  6. Step 6: Final answer
    x = 6,160.20

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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.