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Finding the Fourth Proportional to 11,496.92, 15,865.31 and 6,461.36

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Solution

The fourth proportional to 11,496.92, 15,865.31 and 6,461.36 is: 8,916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.92 : 15,865.31 = 6,461.36 : x
  2. Step 2: Convert to fraction form
    11,496.92/15,865.31 = 6,461.36/x
  3. Step 3: Cross multiply
    11,496.92x = 15,865.31 × 6,461.36
  4. Step 4: Simplify right side
    11,496.92x = 102,511,367.79
  5. Step 5: Solve for x
    x = 102,511,367.79/11,496.92
  6. Step 6: Final answer
    x = 8,916.42

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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.