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Finding the Fourth Proportional to 9,967, 14,950.50 and 4,123.75

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Solution

The fourth proportional to 9,967, 14,950.50 and 4,123.75 is: 6,185.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967 : 14,950.50 = 4,123.75 : x
  2. Step 2: Convert to fraction form
    9,967/14,950.50 = 4,123.75/x
  3. Step 3: Cross multiply
    9,967x = 14,950.50 × 4,123.75
  4. Step 4: Simplify right side
    9,967x = 61,652,124.38
  5. Step 5: Solve for x
    x = 61,652,124.38/9,967
  6. Step 6: Final answer
    x = 6,185.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.