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Finding the Fourth Proportional to 8,586.30, 11,849.22 and 5,229.27

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Solution

The fourth proportional to 8,586.30, 11,849.22 and 5,229.27 is: 7,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.30 : 11,849.22 = 5,229.27 : x
  2. Step 2: Convert to fraction form
    8,586.30/11,849.22 = 5,229.27/x
  3. Step 3: Cross multiply
    8,586.30x = 11,849.22 × 5,229.27
  4. Step 4: Simplify right side
    8,586.30x = 61,962,770.67
  5. Step 5: Solve for x
    x = 61,962,770.67/8,586.30
  6. Step 6: Final answer
    x = 7,216.47

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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.