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Finding the Fourth Proportional to 9,965.92, 14,950.68 and 4,123

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Solution

The fourth proportional to 9,965.92, 14,950.68 and 4,123 is: 6,185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.92 : 14,950.68 = 4,123 : x
  2. Step 2: Convert to fraction form
    9,965.92/14,950.68 = 4,123/x
  3. Step 3: Cross multiply
    9,965.92x = 14,950.68 × 4,123
  4. Step 4: Simplify right side
    9,965.92x = 61,641,653.64
  5. Step 5: Solve for x
    x = 61,641,653.64/9,965.92
  6. Step 6: Final answer
    x = 6,185.24

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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.