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Finding the Fourth Proportional to 11,605.77, 16,016.04 and 6,300.62

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Solution

The fourth proportional to 11,605.77, 16,016.04 and 6,300.62 is: 8,694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.77 : 16,016.04 = 6,300.62 : x
  2. Step 2: Convert to fraction form
    11,605.77/16,016.04 = 6,300.62/x
  3. Step 3: Cross multiply
    11,605.77x = 16,016.04 × 6,300.62
  4. Step 4: Simplify right side
    11,605.77x = 100,910,901.86
  5. Step 5: Solve for x
    x = 100,910,901.86/11,605.77
  6. Step 6: Final answer
    x = 8,694.89

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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.