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Finding the Fourth Proportional to 7,416, 10,234.36 and 4,229.80

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Solution

The fourth proportional to 7,416, 10,234.36 and 4,229.80 is: 5,837.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416 : 10,234.36 = 4,229.80 : x
  2. Step 2: Convert to fraction form
    7,416/10,234.36 = 4,229.80/x
  3. Step 3: Cross multiply
    7,416x = 10,234.36 × 4,229.80
  4. Step 4: Simplify right side
    7,416x = 43,289,295.93
  5. Step 5: Solve for x
    x = 43,289,295.93/7,416
  6. Step 6: Final answer
    x = 5,837.28

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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.