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Finding the Fourth Proportional to 6,486.12, 8,950.48 and 3,833.77

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Solution

The fourth proportional to 6,486.12, 8,950.48 and 3,833.77 is: 5,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.12 : 8,950.48 = 3,833.77 : x
  2. Step 2: Convert to fraction form
    6,486.12/8,950.48 = 3,833.77/x
  3. Step 3: Cross multiply
    6,486.12x = 8,950.48 × 3,833.77
  4. Step 4: Simplify right side
    6,486.12x = 34,314,081.71
  5. Step 5: Solve for x
    x = 34,314,081.71/6,486.12
  6. Step 6: Final answer
    x = 5,290.39

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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.