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Finding the Fourth Proportional to 11,843.52, 16,346.40 and 6,811.20

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Solution

The fourth proportional to 11,843.52, 16,346.40 and 6,811.20 is: 9,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.52 : 16,346.40 = 6,811.20 : x
  2. Step 2: Convert to fraction form
    11,843.52/16,346.40 = 6,811.20/x
  3. Step 3: Cross multiply
    11,843.52x = 16,346.40 × 6,811.20
  4. Step 4: Simplify right side
    11,843.52x = 111,338,599.68
  5. Step 5: Solve for x
    x = 111,338,599.68/11,843.52
  6. Step 6: Final answer
    x = 9,400.80

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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.