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Finding the Fourth Proportional to 9,601.26, 13,243.55 and 6,371

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Solution

The fourth proportional to 9,601.26, 13,243.55 and 6,371 is: 8,787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.26 : 13,243.55 = 6,371 : x
  2. Step 2: Convert to fraction form
    9,601.26/13,243.55 = 6,371/x
  3. Step 3: Cross multiply
    9,601.26x = 13,243.55 × 6,371
  4. Step 4: Simplify right side
    9,601.26x = 84,374,657.05
  5. Step 5: Solve for x
    x = 84,374,657.05/9,601.26
  6. Step 6: Final answer
    x = 8,787.87

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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.