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Finding the Fourth Proportional to 7,175.90, 9,896.64 and 4,941.38

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Solution

The fourth proportional to 7,175.90, 9,896.64 and 4,941.38 is: 6,814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.90 : 9,896.64 = 4,941.38 : x
  2. Step 2: Convert to fraction form
    7,175.90/9,896.64 = 4,941.38/x
  3. Step 3: Cross multiply
    7,175.90x = 9,896.64 × 4,941.38
  4. Step 4: Simplify right side
    7,175.90x = 48,903,058.96
  5. Step 5: Solve for x
    x = 48,903,058.96/7,175.90
  6. Step 6: Final answer
    x = 6,814.90

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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.