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Finding the Fourth Proportional to 36,788.07, 55,182.24 and 9,086.07

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Solution

The fourth proportional to 36,788.07, 55,182.24 and 9,086.07 is: 13,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,788.07 : 55,182.24 = 9,086.07 : x
  2. Step 2: Convert to fraction form
    36,788.07/55,182.24 = 9,086.07/x
  3. Step 3: Cross multiply
    36,788.07x = 55,182.24 × 9,086.07
  4. Step 4: Simplify right side
    36,788.07x = 501,389,695.40
  5. Step 5: Solve for x
    x = 501,389,695.40/36,788.07
  6. Step 6: Final answer
    x = 13,629.14

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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.