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Finding the Fourth Proportional to 6,465.86, 9,696.44 and 2,768.34

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Solution

The fourth proportional to 6,465.86, 9,696.44 and 2,768.34 is: 4,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.86 : 9,696.44 = 2,768.34 : x
  2. Step 2: Convert to fraction form
    6,465.86/9,696.44 = 2,768.34/x
  3. Step 3: Cross multiply
    6,465.86x = 9,696.44 × 2,768.34
  4. Step 4: Simplify right side
    6,465.86x = 26,843,028.87
  5. Step 5: Solve for x
    x = 26,843,028.87/6,465.86
  6. Step 6: Final answer
    x = 4,151.50

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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.