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Finding the Fourth Proportional to 23,401, 35,101.50 and 6,985

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Solution

The fourth proportional to 23,401, 35,101.50 and 6,985 is: 10,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,401 : 35,101.50 = 6,985 : x
  2. Step 2: Convert to fraction form
    23,401/35,101.50 = 6,985/x
  3. Step 3: Cross multiply
    23,401x = 35,101.50 × 6,985
  4. Step 4: Simplify right side
    23,401x = 245,183,977.50
  5. Step 5: Solve for x
    x = 245,183,977.50/23,401
  6. Step 6: Final answer
    x = 10,477.50

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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.