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Finding the Fourth Proportional to 6,963.67, 9,609.89 and 4,132.43

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Solution

The fourth proportional to 6,963.67, 9,609.89 and 4,132.43 is: 5,702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.67 : 9,609.89 = 4,132.43 : x
  2. Step 2: Convert to fraction form
    6,963.67/9,609.89 = 4,132.43/x
  3. Step 3: Cross multiply
    6,963.67x = 9,609.89 × 4,132.43
  4. Step 4: Simplify right side
    6,963.67x = 39,712,129.02
  5. Step 5: Solve for x
    x = 39,712,129.02/6,963.67
  6. Step 6: Final answer
    x = 5,702.76

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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.