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Finding the Fourth Proportional to 12,884.30, 17,778.86 and 7,218.26

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Solution

The fourth proportional to 12,884.30, 17,778.86 and 7,218.26 is: 9,960.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.30 : 17,778.86 = 7,218.26 : x
  2. Step 2: Convert to fraction form
    12,884.30/17,778.86 = 7,218.26/x
  3. Step 3: Cross multiply
    12,884.30x = 17,778.86 × 7,218.26
  4. Step 4: Simplify right side
    12,884.30x = 128,332,309.00
  5. Step 5: Solve for x
    x = 128,332,309.00/12,884.30
  6. Step 6: Final answer
    x = 9,960.37

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Half scale
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Double scale
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Similar ratio
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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.