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Finding the Fourth Proportional to 12,092.93, 16,691.72 and 7,312.88

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Solution

The fourth proportional to 12,092.93, 16,691.72 and 7,312.88 is: 10,093.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.93 : 16,691.72 = 7,312.88 : x
  2. Step 2: Convert to fraction form
    12,092.93/16,691.72 = 7,312.88/x
  3. Step 3: Cross multiply
    12,092.93x = 16,691.72 × 7,312.88
  4. Step 4: Simplify right side
    12,092.93x = 122,064,425.33
  5. Step 5: Solve for x
    x = 122,064,425.33/12,092.93
  6. Step 6: Final answer
    x = 10,093.87

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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.