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Finding the Fourth Proportional to 6,450.51, 9,680.07 and 2,346.51

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Solution

The fourth proportional to 6,450.51, 9,680.07 and 2,346.51 is: 3,521.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.51 : 9,680.07 = 2,346.51 : x
  2. Step 2: Convert to fraction form
    6,450.51/9,680.07 = 2,346.51/x
  3. Step 3: Cross multiply
    6,450.51x = 9,680.07 × 2,346.51
  4. Step 4: Simplify right side
    6,450.51x = 22,714,381.06
  5. Step 5: Solve for x
    x = 22,714,381.06/6,450.51
  6. Step 6: Final answer
    x = 3,521.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.