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Finding the Fourth Proportional to 8,522.70, 12,782.10 and 2,677.92

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Solution

The fourth proportional to 8,522.70, 12,782.10 and 2,677.92 is: 4,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.70 : 12,782.10 = 2,677.92 : x
  2. Step 2: Convert to fraction form
    8,522.70/12,782.10 = 2,677.92/x
  3. Step 3: Cross multiply
    8,522.70x = 12,782.10 × 2,677.92
  4. Step 4: Simplify right side
    8,522.70x = 34,229,441.23
  5. Step 5: Solve for x
    x = 34,229,441.23/8,522.70
  6. Step 6: Final answer
    x = 4,016.27

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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.