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Finding the Fourth Proportional to 6,509.62, 8,983.74 and 3,676.96

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Solution

The fourth proportional to 6,509.62, 8,983.74 and 3,676.96 is: 5,074.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.62 : 8,983.74 = 3,676.96 : x
  2. Step 2: Convert to fraction form
    6,509.62/8,983.74 = 3,676.96/x
  3. Step 3: Cross multiply
    6,509.62x = 8,983.74 × 3,676.96
  4. Step 4: Simplify right side
    6,509.62x = 33,032,852.63
  5. Step 5: Solve for x
    x = 33,032,852.63/6,509.62
  6. Step 6: Final answer
    x = 5,074.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.