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Finding the Fourth Proportional to 10,651.62, 14,698.43 and 6,175.98

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Solution

The fourth proportional to 10,651.62, 14,698.43 and 6,175.98 is: 8,522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.62 : 14,698.43 = 6,175.98 : x
  2. Step 2: Convert to fraction form
    10,651.62/14,698.43 = 6,175.98/x
  3. Step 3: Cross multiply
    10,651.62x = 14,698.43 × 6,175.98
  4. Step 4: Simplify right side
    10,651.62x = 90,777,178.83
  5. Step 5: Solve for x
    x = 90,777,178.83/10,651.62
  6. Step 6: Final answer
    x = 8,522.38

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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.