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Finding the Fourth Proportional to 12,496.86, 17,245.16 and 6,831.80

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Solution

The fourth proportional to 12,496.86, 17,245.16 and 6,831.80 is: 9,427.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.86 : 17,245.16 = 6,831.80 : x
  2. Step 2: Convert to fraction form
    12,496.86/17,245.16 = 6,831.80/x
  3. Step 3: Cross multiply
    12,496.86x = 17,245.16 × 6,831.80
  4. Step 4: Simplify right side
    12,496.86x = 117,815,493.04
  5. Step 5: Solve for x
    x = 117,815,493.04/12,496.86
  6. Step 6: Final answer
    x = 9,427.61

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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.