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Finding the Fourth Proportional to 11,194.05, 16,793 and 4,616.65

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Solution

The fourth proportional to 11,194.05, 16,793 and 4,616.65 is: 6,925.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,194.05 : 16,793 = 4,616.65 : x
  2. Step 2: Convert to fraction form
    11,194.05/16,793 = 4,616.65/x
  3. Step 3: Cross multiply
    11,194.05x = 16,793 × 4,616.65
  4. Step 4: Simplify right side
    11,194.05x = 77,527,403.45
  5. Step 5: Solve for x
    x = 77,527,403.45/11,194.05
  6. Step 6: Final answer
    x = 6,925.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.