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Finding the Fourth Proportional to 27,283.52, 40,917.20 and 11,697.44

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Solution

The fourth proportional to 27,283.52, 40,917.20 and 11,697.44 is: 17,542.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,283.52 : 40,917.20 = 11,697.44 : x
  2. Step 2: Convert to fraction form
    27,283.52/40,917.20 = 11,697.44/x
  3. Step 3: Cross multiply
    27,283.52x = 40,917.20 × 11,697.44
  4. Step 4: Simplify right side
    27,283.52x = 478,626,491.97
  5. Step 5: Solve for x
    x = 478,626,491.97/27,283.52
  6. Step 6: Final answer
    x = 17,542.70

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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.