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Finding the Fourth Proportional to 8,364.73, 12,538.31 and 2,816.16

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Solution

The fourth proportional to 8,364.73, 12,538.31 and 2,816.16 is: 4,221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.73 : 12,538.31 = 2,816.16 : x
  2. Step 2: Convert to fraction form
    8,364.73/12,538.31 = 2,816.16/x
  3. Step 3: Cross multiply
    8,364.73x = 12,538.31 × 2,816.16
  4. Step 4: Simplify right side
    8,364.73x = 35,309,887.09
  5. Step 5: Solve for x
    x = 35,309,887.09/8,364.73
  6. Step 6: Final answer
    x = 4,221.28

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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.