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Finding the Fourth Proportional to 10,606.21, 14,625.16 and 6,625.87

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Solution

The fourth proportional to 10,606.21, 14,625.16 and 6,625.87 is: 9,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.21 : 14,625.16 = 6,625.87 : x
  2. Step 2: Convert to fraction form
    10,606.21/14,625.16 = 6,625.87/x
  3. Step 3: Cross multiply
    10,606.21x = 14,625.16 × 6,625.87
  4. Step 4: Simplify right side
    10,606.21x = 96,904,408.89
  5. Step 5: Solve for x
    x = 96,904,408.89/10,606.21
  6. Step 6: Final answer
    x = 9,136.57

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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.