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Finding the Fourth Proportional to 10,644.94, 14,690.01 and 6,171.29

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Solution

The fourth proportional to 10,644.94, 14,690.01 and 6,171.29 is: 8,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.94 : 14,690.01 = 6,171.29 : x
  2. Step 2: Convert to fraction form
    10,644.94/14,690.01 = 6,171.29/x
  3. Step 3: Cross multiply
    10,644.94x = 14,690.01 × 6,171.29
  4. Step 4: Simplify right side
    10,644.94x = 90,656,311.81
  5. Step 5: Solve for x
    x = 90,656,311.81/10,644.94
  6. Step 6: Final answer
    x = 8,516.38

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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.