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Finding the Fourth Proportional to 6,213, 9,312.66 and 2,512.92

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Solution

The fourth proportional to 6,213, 9,312.66 and 2,512.92 is: 3,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213 : 9,312.66 = 2,512.92 : x
  2. Step 2: Convert to fraction form
    6,213/9,312.66 = 2,512.92/x
  3. Step 3: Cross multiply
    6,213x = 9,312.66 × 2,512.92
  4. Step 4: Simplify right side
    6,213x = 23,401,969.57
  5. Step 5: Solve for x
    x = 23,401,969.57/6,213
  6. Step 6: Final answer
    x = 3,766.61

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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.