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Finding the Fourth Proportional to 6,798.96, 10,197.13 and 2,119.02

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Solution

The fourth proportional to 6,798.96, 10,197.13 and 2,119.02 is: 3,178.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.96 : 10,197.13 = 2,119.02 : x
  2. Step 2: Convert to fraction form
    6,798.96/10,197.13 = 2,119.02/x
  3. Step 3: Cross multiply
    6,798.96x = 10,197.13 × 2,119.02
  4. Step 4: Simplify right side
    6,798.96x = 21,607,922.41
  5. Step 5: Solve for x
    x = 21,607,922.41/6,798.96
  6. Step 6: Final answer
    x = 3,178.12

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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.