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Finding the Fourth Proportional to 6,497.16, 8,965.94 and 3,664.54

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Solution

The fourth proportional to 6,497.16, 8,965.94 and 3,664.54 is: 5,056.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.16 : 8,965.94 = 3,664.54 : x
  2. Step 2: Convert to fraction form
    6,497.16/8,965.94 = 3,664.54/x
  3. Step 3: Cross multiply
    6,497.16x = 8,965.94 × 3,664.54
  4. Step 4: Simplify right side
    6,497.16x = 32,856,045.77
  5. Step 5: Solve for x
    x = 32,856,045.77/6,497.16
  6. Step 6: Final answer
    x = 5,056.99

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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.