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Finding the Fourth Proportional to 8,290.56, 11,437.44 and 5,936.16

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Solution

The fourth proportional to 8,290.56, 11,437.44 and 5,936.16 is: 8,189.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.56 : 11,437.44 = 5,936.16 : x
  2. Step 2: Convert to fraction form
    8,290.56/11,437.44 = 5,936.16/x
  3. Step 3: Cross multiply
    8,290.56x = 11,437.44 × 5,936.16
  4. Step 4: Simplify right side
    8,290.56x = 67,894,473.83
  5. Step 5: Solve for x
    x = 67,894,473.83/8,290.56
  6. Step 6: Final answer
    x = 8,189.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.