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Finding the Fourth Proportional to 6,177.56, 8,525.04 and 3,383

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Solution

The fourth proportional to 6,177.56, 8,525.04 and 3,383 is: 4,668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.56 : 8,525.04 = 3,383 : x
  2. Step 2: Convert to fraction form
    6,177.56/8,525.04 = 3,383/x
  3. Step 3: Cross multiply
    6,177.56x = 8,525.04 × 3,383
  4. Step 4: Simplify right side
    6,177.56x = 28,840,210.32
  5. Step 5: Solve for x
    x = 28,840,210.32/6,177.56
  6. Step 6: Final answer
    x = 4,668.54

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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.