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Finding the Fourth Proportional to 11,843.28, 16,342.02 and 6,808.32

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Solution

The fourth proportional to 11,843.28, 16,342.02 and 6,808.32 is: 9,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.28 : 16,342.02 = 6,808.32 : x
  2. Step 2: Convert to fraction form
    11,843.28/16,342.02 = 6,808.32/x
  3. Step 3: Cross multiply
    11,843.28x = 16,342.02 × 6,808.32
  4. Step 4: Simplify right side
    11,843.28x = 111,261,701.61
  5. Step 5: Solve for x
    x = 111,261,701.61/11,843.28
  6. Step 6: Final answer
    x = 9,394.50

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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.