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Finding the Fourth Proportional to 6,401, 9,598.20 and 2,935.28

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Solution

The fourth proportional to 6,401, 9,598.20 and 2,935.28 is: 4,401.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401 : 9,598.20 = 2,935.28 : x
  2. Step 2: Convert to fraction form
    6,401/9,598.20 = 2,935.28/x
  3. Step 3: Cross multiply
    6,401x = 9,598.20 × 2,935.28
  4. Step 4: Simplify right side
    6,401x = 28,173,404.50
  5. Step 5: Solve for x
    x = 28,173,404.50/6,401
  6. Step 6: Final answer
    x = 4,401.41

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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.