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Finding the Fourth Proportional to 6,379.68, 9,522.71 and 5,910

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Solution

The fourth proportional to 6,379.68, 9,522.71 and 5,910 is: 8,821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.68 : 9,522.71 = 5,910 : x
  2. Step 2: Convert to fraction form
    6,379.68/9,522.71 = 5,910/x
  3. Step 3: Cross multiply
    6,379.68x = 9,522.71 × 5,910
  4. Step 4: Simplify right side
    6,379.68x = 56,279,186.55
  5. Step 5: Solve for x
    x = 56,279,186.55/6,379.68
  6. Step 6: Final answer
    x = 8,821.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.