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Finding the Fourth Proportional to 12,650.92, 17,458.17 and 6,986.05

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Solution

The fourth proportional to 12,650.92, 17,458.17 and 6,986.05 is: 9,640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,650.92 : 17,458.17 = 6,986.05 : x
  2. Step 2: Convert to fraction form
    12,650.92/17,458.17 = 6,986.05/x
  3. Step 3: Cross multiply
    12,650.92x = 17,458.17 × 6,986.05
  4. Step 4: Simplify right side
    12,650.92x = 121,963,578.69
  5. Step 5: Solve for x
    x = 121,963,578.69/12,650.92
  6. Step 6: Final answer
    x = 9,640.69

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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.