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Finding the Fourth Proportional to 6,496.36, 9,729.90 and 3,893.80

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Solution

The fourth proportional to 6,496.36, 9,729.90 and 3,893.80 is: 5,831.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.36 : 9,729.90 = 3,893.80 : x
  2. Step 2: Convert to fraction form
    6,496.36/9,729.90 = 3,893.80/x
  3. Step 3: Cross multiply
    6,496.36x = 9,729.90 × 3,893.80
  4. Step 4: Simplify right side
    6,496.36x = 37,886,284.62
  5. Step 5: Solve for x
    x = 37,886,284.62/6,496.36
  6. Step 6: Final answer
    x = 5,831.93

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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.