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Finding the Fourth Proportional to 13,524.24, 18,662.18 and 7,858.92

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Solution

The fourth proportional to 13,524.24, 18,662.18 and 7,858.92 is: 10,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.24 : 18,662.18 = 7,858.92 : x
  2. Step 2: Convert to fraction form
    13,524.24/18,662.18 = 7,858.92/x
  3. Step 3: Cross multiply
    13,524.24x = 18,662.18 × 7,858.92
  4. Step 4: Simplify right side
    13,524.24x = 146,664,579.65
  5. Step 5: Solve for x
    x = 146,664,579.65/13,524.24
  6. Step 6: Final answer
    x = 10,844.57

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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.