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Finding the Fourth Proportional to 6,810.16, 10,205.79 and 3,103.33

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Solution

The fourth proportional to 6,810.16, 10,205.79 and 3,103.33 is: 4,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.16 : 10,205.79 = 3,103.33 : x
  2. Step 2: Convert to fraction form
    6,810.16/10,205.79 = 3,103.33/x
  3. Step 3: Cross multiply
    6,810.16x = 10,205.79 × 3,103.33
  4. Step 4: Simplify right side
    6,810.16x = 31,671,934.28
  5. Step 5: Solve for x
    x = 31,671,934.28/6,810.16
  6. Step 6: Final answer
    x = 4,650.69

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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.