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Finding the Fourth Proportional to 6,486.86, 9,733.46 and 4,021.02

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Solution

The fourth proportional to 6,486.86, 9,733.46 and 4,021.02 is: 6,033.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.86 : 9,733.46 = 4,021.02 : x
  2. Step 2: Convert to fraction form
    6,486.86/9,733.46 = 4,021.02/x
  3. Step 3: Cross multiply
    6,486.86x = 9,733.46 × 4,021.02
  4. Step 4: Simplify right side
    6,486.86x = 39,138,437.33
  5. Step 5: Solve for x
    x = 39,138,437.33/6,486.86
  6. Step 6: Final answer
    x = 6,033.49

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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.