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Finding the Fourth Proportional to 17,049.44, 25,574.10 and 7,678.48

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Solution

The fourth proportional to 17,049.44, 25,574.10 and 7,678.48 is: 11,517.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,049.44 : 25,574.10 = 7,678.48 : x
  2. Step 2: Convert to fraction form
    17,049.44/25,574.10 = 7,678.48/x
  3. Step 3: Cross multiply
    17,049.44x = 25,574.10 × 7,678.48
  4. Step 4: Simplify right side
    17,049.44x = 196,370,215.37
  5. Step 5: Solve for x
    x = 196,370,215.37/17,049.44
  6. Step 6: Final answer
    x = 11,517.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.