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Finding the Fourth Proportional to 6,507.51, 9,759.79 and 2,994.14

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Solution

The fourth proportional to 6,507.51, 9,759.79 and 2,994.14 is: 4,490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.51 : 9,759.79 = 2,994.14 : x
  2. Step 2: Convert to fraction form
    6,507.51/9,759.79 = 2,994.14/x
  3. Step 3: Cross multiply
    6,507.51x = 9,759.79 × 2,994.14
  4. Step 4: Simplify right side
    6,507.51x = 29,222,205.77
  5. Step 5: Solve for x
    x = 29,222,205.77/6,507.51
  6. Step 6: Final answer
    x = 4,490.54

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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.