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Finding the Fourth Proportional to 27,536.16, 41,305.80 and 7,813.16

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Solution

The fourth proportional to 27,536.16, 41,305.80 and 7,813.16 is: 11,720.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,536.16 : 41,305.80 = 7,813.16 : x
  2. Step 2: Convert to fraction form
    27,536.16/41,305.80 = 7,813.16/x
  3. Step 3: Cross multiply
    27,536.16x = 41,305.80 × 7,813.16
  4. Step 4: Simplify right side
    27,536.16x = 322,728,824.33
  5. Step 5: Solve for x
    x = 322,728,824.33/27,536.16
  6. Step 6: Final answer
    x = 11,720.18

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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.