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Finding the Fourth Proportional to 8,523.98, 12,766.15 and 8,228.34

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Solution

The fourth proportional to 8,523.98, 12,766.15 and 8,228.34 is: 12,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.98 : 12,766.15 = 8,228.34 : x
  2. Step 2: Convert to fraction form
    8,523.98/12,766.15 = 8,228.34/x
  3. Step 3: Cross multiply
    8,523.98x = 12,766.15 × 8,228.34
  4. Step 4: Simplify right side
    8,523.98x = 105,044,202.12
  5. Step 5: Solve for x
    x = 105,044,202.12/8,523.98
  6. Step 6: Final answer
    x = 12,323.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.