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Finding the Fourth Proportional to 6,233.68, 8,602.24 and 3,401

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Solution

The fourth proportional to 6,233.68, 8,602.24 and 3,401 is: 4,693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.68 : 8,602.24 = 3,401 : x
  2. Step 2: Convert to fraction form
    6,233.68/8,602.24 = 3,401/x
  3. Step 3: Cross multiply
    6,233.68x = 8,602.24 × 3,401
  4. Step 4: Simplify right side
    6,233.68x = 29,256,218.24
  5. Step 5: Solve for x
    x = 29,256,218.24/6,233.68
  6. Step 6: Final answer
    x = 4,693.25

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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.