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Finding the Fourth Proportional to 8,206.56, 12,302.26 and 3,275

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Solution

The fourth proportional to 8,206.56, 12,302.26 and 3,275 is: 4,909.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.56 : 12,302.26 = 3,275 : x
  2. Step 2: Convert to fraction form
    8,206.56/12,302.26 = 3,275/x
  3. Step 3: Cross multiply
    8,206.56x = 12,302.26 × 3,275
  4. Step 4: Simplify right side
    8,206.56x = 40,289,901.50
  5. Step 5: Solve for x
    x = 40,289,901.50/8,206.56
  6. Step 6: Final answer
    x = 4,909.48

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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.