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Finding the Fourth Proportional to 12,596.99, 18,896.49 and 3,831.98

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Solution

The fourth proportional to 12,596.99, 18,896.49 and 3,831.98 is: 5,748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.99 : 18,896.49 = 3,831.98 : x
  2. Step 2: Convert to fraction form
    12,596.99/18,896.49 = 3,831.98/x
  3. Step 3: Cross multiply
    12,596.99x = 18,896.49 × 3,831.98
  4. Step 4: Simplify right side
    12,596.99x = 72,410,877.27
  5. Step 5: Solve for x
    x = 72,410,877.27/12,596.99
  6. Step 6: Final answer
    x = 5,748.27

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1.5x scale

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.