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Finding the Fourth Proportional to 27,509.75, 37,963.50 and 14,934.50

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Solution

The fourth proportional to 27,509.75, 37,963.50 and 14,934.50 is: 20,609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.75 : 37,963.50 = 14,934.50 : x
  2. Step 2: Convert to fraction form
    27,509.75/37,963.50 = 14,934.50/x
  3. Step 3: Cross multiply
    27,509.75x = 37,963.50 × 14,934.50
  4. Step 4: Simplify right side
    27,509.75x = 566,965,890.75
  5. Step 5: Solve for x
    x = 566,965,890.75/27,509.75
  6. Step 6: Final answer
    x = 20,609.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.