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Finding the Fourth Proportional to 17,003.70, 23,464.02 and 9,449.46

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Solution

The fourth proportional to 17,003.70, 23,464.02 and 9,449.46 is: 13,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,003.70 : 23,464.02 = 9,449.46 : x
  2. Step 2: Convert to fraction form
    17,003.70/23,464.02 = 9,449.46/x
  3. Step 3: Cross multiply
    17,003.70x = 23,464.02 × 9,449.46
  4. Step 4: Simplify right side
    17,003.70x = 221,722,318.43
  5. Step 5: Solve for x
    x = 221,722,318.43/17,003.70
  6. Step 6: Final answer
    x = 13,039.65

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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.