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Finding the Fourth Proportional to 12,197.93, 16,832.48 and 7,883.46

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Solution

The fourth proportional to 12,197.93, 16,832.48 and 7,883.46 is: 10,878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.93 : 16,832.48 = 7,883.46 : x
  2. Step 2: Convert to fraction form
    12,197.93/16,832.48 = 7,883.46/x
  3. Step 3: Cross multiply
    12,197.93x = 16,832.48 × 7,883.46
  4. Step 4: Simplify right side
    12,197.93x = 132,698,143.36
  5. Step 5: Solve for x
    x = 132,698,143.36/12,197.93
  6. Step 6: Final answer
    x = 10,878.75

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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.