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Finding the Fourth Proportional to 12,103.65, 16,703.82 and 6,726.69

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Solution

The fourth proportional to 12,103.65, 16,703.82 and 6,726.69 is: 9,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.65 : 16,703.82 = 6,726.69 : x
  2. Step 2: Convert to fraction form
    12,103.65/16,703.82 = 6,726.69/x
  3. Step 3: Cross multiply
    12,103.65x = 16,703.82 × 6,726.69
  4. Step 4: Simplify right side
    12,103.65x = 112,361,418.96
  5. Step 5: Solve for x
    x = 112,361,418.96/12,103.65
  6. Step 6: Final answer
    x = 9,283.27

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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.