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Finding the Fourth Proportional to 23,598, 35,401.68 and 6,958.32

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Solution

The fourth proportional to 23,598, 35,401.68 and 6,958.32 is: 10,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,598 : 35,401.68 = 6,958.32 : x
  2. Step 2: Convert to fraction form
    23,598/35,401.68 = 6,958.32/x
  3. Step 3: Cross multiply
    23,598x = 35,401.68 × 6,958.32
  4. Step 4: Simplify right side
    23,598x = 246,336,217.98
  5. Step 5: Solve for x
    x = 246,336,217.98/23,598
  6. Step 6: Final answer
    x = 10,438.86

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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.