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Finding the Fourth Proportional to 8,586.01, 12,853.09 and 7,764.67

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Solution

The fourth proportional to 8,586.01, 12,853.09 and 7,764.67 is: 11,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.01 : 12,853.09 = 7,764.67 : x
  2. Step 2: Convert to fraction form
    8,586.01/12,853.09 = 7,764.67/x
  3. Step 3: Cross multiply
    8,586.01x = 12,853.09 × 7,764.67
  4. Step 4: Simplify right side
    8,586.01x = 99,800,002.33
  5. Step 5: Solve for x
    x = 99,800,002.33/8,586.01
  6. Step 6: Final answer
    x = 11,623.56

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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.