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Finding the Fourth Proportional to 11,950.40, 16,493.59 and 6,914.77

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Solution

The fourth proportional to 11,950.40, 16,493.59 and 6,914.77 is: 9,543.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,950.40 : 16,493.59 = 6,914.77 : x
  2. Step 2: Convert to fraction form
    11,950.40/16,493.59 = 6,914.77/x
  3. Step 3: Cross multiply
    11,950.40x = 16,493.59 × 6,914.77
  4. Step 4: Simplify right side
    11,950.40x = 114,049,348.73
  5. Step 5: Solve for x
    x = 114,049,348.73/11,950.40
  6. Step 6: Final answer
    x = 9,543.56

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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.