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Finding the Fourth Proportional to 12,177.63, 16,805.12 and 6,588.63

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Solution

The fourth proportional to 12,177.63, 16,805.12 and 6,588.63 is: 9,092.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.63 : 16,805.12 = 6,588.63 : x
  2. Step 2: Convert to fraction form
    12,177.63/16,805.12 = 6,588.63/x
  3. Step 3: Cross multiply
    12,177.63x = 16,805.12 × 6,588.63
  4. Step 4: Simplify right side
    12,177.63x = 110,722,650.23
  5. Step 5: Solve for x
    x = 110,722,650.23/12,177.63
  6. Step 6: Final answer
    x = 9,092.30

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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.