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Finding the Fourth Proportional to 7,141.97, 9,846.73 and 4,619.63

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Solution

The fourth proportional to 7,141.97, 9,846.73 and 4,619.63 is: 6,369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.97 : 9,846.73 = 4,619.63 : x
  2. Step 2: Convert to fraction form
    7,141.97/9,846.73 = 4,619.63/x
  3. Step 3: Cross multiply
    7,141.97x = 9,846.73 × 4,619.63
  4. Step 4: Simplify right side
    7,141.97x = 45,488,249.31
  5. Step 5: Solve for x
    x = 45,488,249.31/7,141.97
  6. Step 6: Final answer
    x = 6,369.15

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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.