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Finding the Fourth Proportional to 11,992.02, 16,549 and 6,686.72

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Solution

The fourth proportional to 11,992.02, 16,549 and 6,686.72 is: 9,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992.02 : 16,549 = 6,686.72 : x
  2. Step 2: Convert to fraction form
    11,992.02/16,549 = 6,686.72/x
  3. Step 3: Cross multiply
    11,992.02x = 16,549 × 6,686.72
  4. Step 4: Simplify right side
    11,992.02x = 110,658,529.28
  5. Step 5: Solve for x
    x = 110,658,529.28/11,992.02
  6. Step 6: Final answer
    x = 9,227.68

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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.