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Finding the Fourth Proportional to 7,704.71, 10,632.12 and 4,517.57

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Solution

The fourth proportional to 7,704.71, 10,632.12 and 4,517.57 is: 6,234.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.71 : 10,632.12 = 4,517.57 : x
  2. Step 2: Convert to fraction form
    7,704.71/10,632.12 = 4,517.57/x
  3. Step 3: Cross multiply
    7,704.71x = 10,632.12 × 4,517.57
  4. Step 4: Simplify right side
    7,704.71x = 48,031,355.99
  5. Step 5: Solve for x
    x = 48,031,355.99/7,704.71
  6. Step 6: Final answer
    x = 6,234.03

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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.