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Finding the Fourth Proportional to 11,992, 16,548.27 and 6,686.63

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Solution

The fourth proportional to 11,992, 16,548.27 and 6,686.63 is: 9,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992 : 16,548.27 = 6,686.63 : x
  2. Step 2: Convert to fraction form
    11,992/16,548.27 = 6,686.63/x
  3. Step 3: Cross multiply
    11,992x = 16,548.27 × 6,686.63
  4. Step 4: Simplify right side
    11,992x = 110,652,158.63
  5. Step 5: Solve for x
    x = 110,652,158.63/11,992
  6. Step 6: Final answer
    x = 9,227.16

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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.