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Finding the Fourth Proportional to 8,216.00, 12,326.28 and 6,896.62

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Solution

The fourth proportional to 8,216.00, 12,326.28 and 6,896.62 is: 10,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.00 : 12,326.28 = 6,896.62 : x
  2. Step 2: Convert to fraction form
    8,216.00/12,326.28 = 6,896.62/x
  3. Step 3: Cross multiply
    8,216.00x = 12,326.28 × 6,896.62
  4. Step 4: Simplify right side
    8,216.00x = 85,009,573.06
  5. Step 5: Solve for x
    x = 85,009,573.06/8,216.00
  6. Step 6: Final answer
    x = 10,346.84

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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.