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Finding the Fourth Proportional to 16,491.75, 22,758.62 and 9,039.75

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Solution

The fourth proportional to 16,491.75, 22,758.62 and 9,039.75 is: 12,474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,491.75 : 22,758.62 = 9,039.75 : x
  2. Step 2: Convert to fraction form
    16,491.75/22,758.62 = 9,039.75/x
  3. Step 3: Cross multiply
    16,491.75x = 22,758.62 × 9,039.75
  4. Step 4: Simplify right side
    16,491.75x = 205,732,235.15
  5. Step 5: Solve for x
    x = 205,732,235.15/16,491.75
  6. Step 6: Final answer
    x = 12,474.86

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1.5x scale

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.