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Finding the Fourth Proportional to 17,047.36, 23,524.72 and 9,494

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Solution

The fourth proportional to 17,047.36, 23,524.72 and 9,494 is: 13,101.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,047.36 : 23,524.72 = 9,494 : x
  2. Step 2: Convert to fraction form
    17,047.36/23,524.72 = 9,494/x
  3. Step 3: Cross multiply
    17,047.36x = 23,524.72 × 9,494
  4. Step 4: Simplify right side
    17,047.36x = 223,343,691.68
  5. Step 5: Solve for x
    x = 223,343,691.68/17,047.36
  6. Step 6: Final answer
    x = 13,101.37

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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.