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Finding the Fourth Proportional to 9,797.44, 14,698.70 and 4,249.51

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Solution

The fourth proportional to 9,797.44, 14,698.70 and 4,249.51 is: 6,375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.44 : 14,698.70 = 4,249.51 : x
  2. Step 2: Convert to fraction form
    9,797.44/14,698.70 = 4,249.51/x
  3. Step 3: Cross multiply
    9,797.44x = 14,698.70 × 4,249.51
  4. Step 4: Simplify right side
    9,797.44x = 62,462,251.39
  5. Step 5: Solve for x
    x = 62,462,251.39/9,797.44
  6. Step 6: Final answer
    x = 6,375.36

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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.