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Finding the Fourth Proportional to 12,221.69, 16,866.77 and 6,844.23

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Solution

The fourth proportional to 12,221.69, 16,866.77 and 6,844.23 is: 9,445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.69 : 16,866.77 = 6,844.23 : x
  2. Step 2: Convert to fraction form
    12,221.69/16,866.77 = 6,844.23/x
  3. Step 3: Cross multiply
    12,221.69x = 16,866.77 × 6,844.23
  4. Step 4: Simplify right side
    12,221.69x = 115,440,019.02
  5. Step 5: Solve for x
    x = 115,440,019.02/12,221.69
  6. Step 6: Final answer
    x = 9,445.51

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Double scale
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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.