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Finding the Fourth Proportional to 6,496.77, 8,965.26 and 3,664.72

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Solution

The fourth proportional to 6,496.77, 8,965.26 and 3,664.72 is: 5,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.77 : 8,965.26 = 3,664.72 : x
  2. Step 2: Convert to fraction form
    6,496.77/8,965.26 = 3,664.72/x
  3. Step 3: Cross multiply
    6,496.77x = 8,965.26 × 3,664.72
  4. Step 4: Simplify right side
    6,496.77x = 32,855,167.63
  5. Step 5: Solve for x
    x = 32,855,167.63/6,496.77
  6. Step 6: Final answer
    x = 5,057.15

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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.