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Finding the Fourth Proportional to 12,633.51, 17,434.54 and 6,968.44

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Solution

The fourth proportional to 12,633.51, 17,434.54 and 6,968.44 is: 9,616.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633.51 : 17,434.54 = 6,968.44 : x
  2. Step 2: Convert to fraction form
    12,633.51/17,434.54 = 6,968.44/x
  3. Step 3: Cross multiply
    12,633.51x = 17,434.54 × 6,968.44
  4. Step 4: Simplify right side
    12,633.51x = 121,491,545.92
  5. Step 5: Solve for x
    x = 121,491,545.92/12,633.51
  6. Step 6: Final answer
    x = 9,616.61

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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.