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Finding the Fourth Proportional to 6,100.68, 9,165.62 and 3,913.68

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Solution

The fourth proportional to 6,100.68, 9,165.62 and 3,913.68 is: 5,879.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.68 : 9,165.62 = 3,913.68 : x
  2. Step 2: Convert to fraction form
    6,100.68/9,165.62 = 3,913.68/x
  3. Step 3: Cross multiply
    6,100.68x = 9,165.62 × 3,913.68
  4. Step 4: Simplify right side
    6,100.68x = 35,871,303.68
  5. Step 5: Solve for x
    x = 35,871,303.68/6,100.68
  6. Step 6: Final answer
    x = 5,879.89

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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.