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Finding the Fourth Proportional to 11,878.73, 16,391.22 and 6,844.60

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Solution

The fourth proportional to 11,878.73, 16,391.22 and 6,844.60 is: 9,444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.73 : 16,391.22 = 6,844.60 : x
  2. Step 2: Convert to fraction form
    11,878.73/16,391.22 = 6,844.60/x
  3. Step 3: Cross multiply
    11,878.73x = 16,391.22 × 6,844.60
  4. Step 4: Simplify right side
    11,878.73x = 112,191,358.48
  5. Step 5: Solve for x
    x = 112,191,358.48/11,878.73
  6. Step 6: Final answer
    x = 9,444.72

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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.