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Finding the Fourth Proportional to 11,804.98, 16,297.65 and 7,831.48

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Solution

The fourth proportional to 11,804.98, 16,297.65 and 7,831.48 is: 10,811.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.98 : 16,297.65 = 7,831.48 : x
  2. Step 2: Convert to fraction form
    11,804.98/16,297.65 = 7,831.48/x
  3. Step 3: Cross multiply
    11,804.98x = 16,297.65 × 7,831.48
  4. Step 4: Simplify right side
    11,804.98x = 127,634,720.02
  5. Step 5: Solve for x
    x = 127,634,720.02/11,804.98
  6. Step 6: Final answer
    x = 10,811.94

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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.