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Finding the Fourth Proportional to 8,605.44, 11,798.16 and 8,449.92

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Solution

The fourth proportional to 8,605.44, 11,798.16 and 8,449.92 is: 11,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.44 : 11,798.16 = 8,449.92 : x
  2. Step 2: Convert to fraction form
    8,605.44/11,798.16 = 8,449.92/x
  3. Step 3: Cross multiply
    8,605.44x = 11,798.16 × 8,449.92
  4. Step 4: Simplify right side
    8,605.44x = 99,693,508.15
  5. Step 5: Solve for x
    x = 99,693,508.15/8,605.44
  6. Step 6: Final answer
    x = 11,584.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.