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Finding the Fourth Proportional to 22,707, 34,062.42 and 6,291

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Solution

The fourth proportional to 22,707, 34,062.42 and 6,291 is: 9,437.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,707 : 34,062.42 = 6,291 : x
  2. Step 2: Convert to fraction form
    22,707/34,062.42 = 6,291/x
  3. Step 3: Cross multiply
    22,707x = 34,062.42 × 6,291
  4. Step 4: Simplify right side
    22,707x = 214,286,684.22
  5. Step 5: Solve for x
    x = 214,286,684.22/22,707
  6. Step 6: Final answer
    x = 9,437.03

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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.