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Finding the Fourth Proportional to 6,401.94, 9,598.78 and 4,204

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Solution

The fourth proportional to 6,401.94, 9,598.78 and 4,204 is: 6,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.94 : 9,598.78 = 4,204 : x
  2. Step 2: Convert to fraction form
    6,401.94/9,598.78 = 4,204/x
  3. Step 3: Cross multiply
    6,401.94x = 9,598.78 × 4,204
  4. Step 4: Simplify right side
    6,401.94x = 40,353,271.12
  5. Step 5: Solve for x
    x = 40,353,271.12/6,401.94
  6. Step 6: Final answer
    x = 6,303.29

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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.