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Finding the Fourth Proportional to 11,776.87, 16,251.13 and 6,739.94

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Solution

The fourth proportional to 11,776.87, 16,251.13 and 6,739.94 is: 9,300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.87 : 16,251.13 = 6,739.94 : x
  2. Step 2: Convert to fraction form
    11,776.87/16,251.13 = 6,739.94/x
  3. Step 3: Cross multiply
    11,776.87x = 16,251.13 × 6,739.94
  4. Step 4: Simplify right side
    11,776.87x = 109,531,690.18
  5. Step 5: Solve for x
    x = 109,531,690.18/11,776.87
  6. Step 6: Final answer
    x = 9,300.58

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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.