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Finding the Fourth Proportional to 9,191.80, 13,794.66 and 6,733.01

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Solution

The fourth proportional to 9,191.80, 13,794.66 and 6,733.01 is: 10,104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.80 : 13,794.66 = 6,733.01 : x
  2. Step 2: Convert to fraction form
    9,191.80/13,794.66 = 6,733.01/x
  3. Step 3: Cross multiply
    9,191.80x = 13,794.66 × 6,733.01
  4. Step 4: Simplify right side
    9,191.80x = 92,879,550.06
  5. Step 5: Solve for x
    x = 92,879,550.06/9,191.80
  6. Step 6: Final answer
    x = 10,104.61

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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.