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Finding the Fourth Proportional to 8,632.31, 11,915.52 and 5,983.21

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Solution

The fourth proportional to 8,632.31, 11,915.52 and 5,983.21 is: 8,258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.31 : 11,915.52 = 5,983.21 : x
  2. Step 2: Convert to fraction form
    8,632.31/11,915.52 = 5,983.21/x
  3. Step 3: Cross multiply
    8,632.31x = 11,915.52 × 5,983.21
  4. Step 4: Simplify right side
    8,632.31x = 71,293,058.42
  5. Step 5: Solve for x
    x = 71,293,058.42/8,632.31
  6. Step 6: Final answer
    x = 8,258.86

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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.