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Finding the Fourth Proportional to 14,858.01, 20,504.16 and 8,144.01

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Solution

The fourth proportional to 14,858.01, 20,504.16 and 8,144.01 is: 11,238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,858.01 : 20,504.16 = 8,144.01 : x
  2. Step 2: Convert to fraction form
    14,858.01/20,504.16 = 8,144.01/x
  3. Step 3: Cross multiply
    14,858.01x = 20,504.16 × 8,144.01
  4. Step 4: Simplify right side
    14,858.01x = 166,986,084.08
  5. Step 5: Solve for x
    x = 166,986,084.08/14,858.01
  6. Step 6: Final answer
    x = 11,238.79

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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.