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Finding the Fourth Proportional to 6,336, 8,744.13 and 3,503.61

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Solution

The fourth proportional to 6,336, 8,744.13 and 3,503.61 is: 4,835.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336 : 8,744.13 = 3,503.61 : x
  2. Step 2: Convert to fraction form
    6,336/8,744.13 = 3,503.61/x
  3. Step 3: Cross multiply
    6,336x = 8,744.13 × 3,503.61
  4. Step 4: Simplify right side
    6,336x = 30,636,021.31
  5. Step 5: Solve for x
    x = 30,636,021.31/6,336
  6. Step 6: Final answer
    x = 4,835.23

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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.