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Finding the Fourth Proportional to 11,794.77, 16,277.03 and 6,489.59

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Solution

The fourth proportional to 11,794.77, 16,277.03 and 6,489.59 is: 8,955.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.77 : 16,277.03 = 6,489.59 : x
  2. Step 2: Convert to fraction form
    11,794.77/16,277.03 = 6,489.59/x
  3. Step 3: Cross multiply
    11,794.77x = 16,277.03 × 6,489.59
  4. Step 4: Simplify right side
    11,794.77x = 105,631,251.12
  5. Step 5: Solve for x
    x = 105,631,251.12/11,794.77
  6. Step 6: Final answer
    x = 8,955.77

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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.