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Finding the Fourth Proportional to 27,764.79, 41,647.23 and 9,296.79

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Solution

The fourth proportional to 27,764.79, 41,647.23 and 9,296.79 is: 13,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,764.79 : 41,647.23 = 9,296.79 : x
  2. Step 2: Convert to fraction form
    27,764.79/41,647.23 = 9,296.79/x
  3. Step 3: Cross multiply
    27,764.79x = 41,647.23 × 9,296.79
  4. Step 4: Simplify right side
    27,764.79x = 387,185,551.39
  5. Step 5: Solve for x
    x = 387,185,551.39/27,764.79
  6. Step 6: Final answer
    x = 13,945.20

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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.