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Finding the Fourth Proportional to 11,854.92, 16,363.44 and 7,662.36

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Solution

The fourth proportional to 11,854.92, 16,363.44 and 7,662.36 is: 10,576.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.92 : 16,363.44 = 7,662.36 : x
  2. Step 2: Convert to fraction form
    11,854.92/16,363.44 = 7,662.36/x
  3. Step 3: Cross multiply
    11,854.92x = 16,363.44 × 7,662.36
  4. Step 4: Simplify right side
    11,854.92x = 125,382,568.12
  5. Step 5: Solve for x
    x = 125,382,568.12/11,854.92
  6. Step 6: Final answer
    x = 10,576.42

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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.