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Finding the Fourth Proportional to 6,206.83, 8,567.27 and 3,556.00

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Solution

The fourth proportional to 6,206.83, 8,567.27 and 3,556.00 is: 4,908.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.83 : 8,567.27 = 3,556.00 : x
  2. Step 2: Convert to fraction form
    6,206.83/8,567.27 = 3,556.00/x
  3. Step 3: Cross multiply
    6,206.83x = 8,567.27 × 3,556.00
  4. Step 4: Simplify right side
    6,206.83x = 30,465,218.38
  5. Step 5: Solve for x
    x = 30,465,218.38/6,206.83
  6. Step 6: Final answer
    x = 4,908.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.