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Finding the Fourth Proportional to 6,462.90, 9,696.02 and 2,712.67

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Solution

The fourth proportional to 6,462.90, 9,696.02 and 2,712.67 is: 4,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.90 : 9,696.02 = 2,712.67 : x
  2. Step 2: Convert to fraction form
    6,462.90/9,696.02 = 2,712.67/x
  3. Step 3: Cross multiply
    6,462.90x = 9,696.02 × 2,712.67
  4. Step 4: Simplify right side
    6,462.90x = 26,302,102.57
  5. Step 5: Solve for x
    x = 26,302,102.57/6,462.90
  6. Step 6: Final answer
    x = 4,069.71

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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.