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Finding the Fourth Proportional to 27,752.60, 41,628.81 and 9,983.24

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Solution

The fourth proportional to 27,752.60, 41,628.81 and 9,983.24 is: 14,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,752.60 : 41,628.81 = 9,983.24 : x
  2. Step 2: Convert to fraction form
    27,752.60/41,628.81 = 9,983.24/x
  3. Step 3: Cross multiply
    27,752.60x = 41,628.81 × 9,983.24
  4. Step 4: Simplify right side
    27,752.60x = 415,590,193.00
  5. Step 5: Solve for x
    x = 415,590,193.00/27,752.60
  6. Step 6: Final answer
    x = 14,974.82

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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.