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Finding the Fourth Proportional to 9,211, 13,805.68 and 4,270.24

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Solution

The fourth proportional to 9,211, 13,805.68 and 4,270.24 is: 6,400.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211 : 13,805.68 = 4,270.24 : x
  2. Step 2: Convert to fraction form
    9,211/13,805.68 = 4,270.24/x
  3. Step 3: Cross multiply
    9,211x = 13,805.68 × 4,270.24
  4. Step 4: Simplify right side
    9,211x = 58,953,566.96
  5. Step 5: Solve for x
    x = 58,953,566.96/9,211
  6. Step 6: Final answer
    x = 6,400.34

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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.