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Finding the Fourth Proportional to 12,584.63, 17,366.79 and 6,995.63

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Solution

The fourth proportional to 12,584.63, 17,366.79 and 6,995.63 is: 9,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.63 : 17,366.79 = 6,995.63 : x
  2. Step 2: Convert to fraction form
    12,584.63/17,366.79 = 6,995.63/x
  3. Step 3: Cross multiply
    12,584.63x = 17,366.79 × 6,995.63
  4. Step 4: Simplify right side
    12,584.63x = 121,491,550.29
  5. Step 5: Solve for x
    x = 121,491,550.29/12,584.63
  6. Step 6: Final answer
    x = 9,653.97

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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.