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Finding the Fourth Proportional to 8,182.56, 11,291.94 and 4,456.56

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Solution

The fourth proportional to 8,182.56, 11,291.94 and 4,456.56 is: 6,150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.56 : 11,291.94 = 4,456.56 : x
  2. Step 2: Convert to fraction form
    8,182.56/11,291.94 = 4,456.56/x
  3. Step 3: Cross multiply
    8,182.56x = 11,291.94 × 4,456.56
  4. Step 4: Simplify right side
    8,182.56x = 50,323,208.13
  5. Step 5: Solve for x
    x = 50,323,208.13/8,182.56
  6. Step 6: Final answer
    x = 6,150.06

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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.