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Finding the Fourth Proportional to 6,700.80, 10,047.94 and 2,019.93

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Solution

The fourth proportional to 6,700.80, 10,047.94 and 2,019.93 is: 3,028.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.80 : 10,047.94 = 2,019.93 : x
  2. Step 2: Convert to fraction form
    6,700.80/10,047.94 = 2,019.93/x
  3. Step 3: Cross multiply
    6,700.80x = 10,047.94 × 2,019.93
  4. Step 4: Simplify right side
    6,700.80x = 20,296,130.39
  5. Step 5: Solve for x
    x = 20,296,130.39/6,700.80
  6. Step 6: Final answer
    x = 3,028.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.