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Finding the Fourth Proportional to 5,766.76, 8,650.12 and 2,069.20

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Solution

The fourth proportional to 5,766.76, 8,650.12 and 2,069.20 is: 3,103.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.76 : 8,650.12 = 2,069.20 : x
  2. Step 2: Convert to fraction form
    5,766.76/8,650.12 = 2,069.20/x
  3. Step 3: Cross multiply
    5,766.76x = 8,650.12 × 2,069.20
  4. Step 4: Simplify right side
    5,766.76x = 17,898,828.30
  5. Step 5: Solve for x
    x = 17,898,828.30/5,766.76
  6. Step 6: Final answer
    x = 3,103.79

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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.