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Finding the Fourth Proportional to 7,722.91, 10,645.82 and 4,733.20

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Solution

The fourth proportional to 7,722.91, 10,645.82 and 4,733.20 is: 6,524.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.91 : 10,645.82 = 4,733.20 : x
  2. Step 2: Convert to fraction form
    7,722.91/10,645.82 = 4,733.20/x
  3. Step 3: Cross multiply
    7,722.91x = 10,645.82 × 4,733.20
  4. Step 4: Simplify right side
    7,722.91x = 50,388,771.56
  5. Step 5: Solve for x
    x = 50,388,771.56/7,722.91
  6. Step 6: Final answer
    x = 6,524.58

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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.