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Finding the Fourth Proportional to 11,992.86, 16,549.53 and 6,687.57

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Solution

The fourth proportional to 11,992.86, 16,549.53 and 6,687.57 is: 9,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992.86 : 16,549.53 = 6,687.57 : x
  2. Step 2: Convert to fraction form
    11,992.86/16,549.53 = 6,687.57/x
  3. Step 3: Cross multiply
    11,992.86x = 16,549.53 × 6,687.57
  4. Step 4: Simplify right side
    11,992.86x = 110,676,140.34
  5. Step 5: Solve for x
    x = 110,676,140.34/11,992.86
  6. Step 6: Final answer
    x = 9,228.50

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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.