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Finding the Fourth Proportional to 6,509.70, 9,751.46 and 2,994.82

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Solution

The fourth proportional to 6,509.70, 9,751.46 and 2,994.82 is: 4,486.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.70 : 9,751.46 = 2,994.82 : x
  2. Step 2: Convert to fraction form
    6,509.70/9,751.46 = 2,994.82/x
  3. Step 3: Cross multiply
    6,509.70x = 9,751.46 × 2,994.82
  4. Step 4: Simplify right side
    6,509.70x = 29,203,867.44
  5. Step 5: Solve for x
    x = 29,203,867.44/6,509.70
  6. Step 6: Final answer
    x = 4,486.21

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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.