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Finding the Fourth Proportional to 8,216.56, 12,324.50 and 3,284.88

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Solution

The fourth proportional to 8,216.56, 12,324.50 and 3,284.88 is: 4,927.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.56 : 12,324.50 = 3,284.88 : x
  2. Step 2: Convert to fraction form
    8,216.56/12,324.50 = 3,284.88/x
  3. Step 3: Cross multiply
    8,216.56x = 12,324.50 × 3,284.88
  4. Step 4: Simplify right side
    8,216.56x = 40,484,503.56
  5. Step 5: Solve for x
    x = 40,484,503.56/8,216.56
  6. Step 6: Final answer
    x = 4,927.18

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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.