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Finding the Fourth Proportional to 6,412.96, 9,636.35 and 3,453.59

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Solution

The fourth proportional to 6,412.96, 9,636.35 and 3,453.59 is: 5,189.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.96 : 9,636.35 = 3,453.59 : x
  2. Step 2: Convert to fraction form
    6,412.96/9,636.35 = 3,453.59/x
  3. Step 3: Cross multiply
    6,412.96x = 9,636.35 × 3,453.59
  4. Step 4: Simplify right side
    6,412.96x = 33,280,002.00
  5. Step 5: Solve for x
    x = 33,280,002.00/6,412.96
  6. Step 6: Final answer
    x = 5,189.49

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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.