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Finding the Fourth Proportional to 5,952.43, 8,197.69 and 5,823.30

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Solution

The fourth proportional to 5,952.43, 8,197.69 and 5,823.30 is: 8,019.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.43 : 8,197.69 = 5,823.30 : x
  2. Step 2: Convert to fraction form
    5,952.43/8,197.69 = 5,823.30/x
  3. Step 3: Cross multiply
    5,952.43x = 8,197.69 × 5,823.30
  4. Step 4: Simplify right side
    5,952.43x = 47,737,608.18
  5. Step 5: Solve for x
    x = 47,737,608.18/5,952.43
  6. Step 6: Final answer
    x = 8,019.85

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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.