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Finding the Fourth Proportional to 7,709, 10,638.42 and 4,397

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Solution

The fourth proportional to 7,709, 10,638.42 and 4,397 is: 6,067.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709 : 10,638.42 = 4,397 : x
  2. Step 2: Convert to fraction form
    7,709/10,638.42 = 4,397/x
  3. Step 3: Cross multiply
    7,709x = 10,638.42 × 4,397
  4. Step 4: Simplify right side
    7,709x = 46,777,132.74
  5. Step 5: Solve for x
    x = 46,777,132.74/7,709
  6. Step 6: Final answer
    x = 6,067.86

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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.