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Finding the Fourth Proportional to 11,873.62, 16,386.05 and 6,496.42

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Solution

The fourth proportional to 11,873.62, 16,386.05 and 6,496.42 is: 8,965.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.62 : 16,386.05 = 6,496.42 : x
  2. Step 2: Convert to fraction form
    11,873.62/16,386.05 = 6,496.42/x
  3. Step 3: Cross multiply
    11,873.62x = 16,386.05 × 6,496.42
  4. Step 4: Simplify right side
    11,873.62x = 106,450,662.94
  5. Step 5: Solve for x
    x = 106,450,662.94/11,873.62
  6. Step 6: Final answer
    x = 8,965.31

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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.