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Finding the Fourth Proportional to 15,205.61, 20,983.75 and 8,491.22

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Solution

The fourth proportional to 15,205.61, 20,983.75 and 8,491.22 is: 11,717.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.61 : 20,983.75 = 8,491.22 : x
  2. Step 2: Convert to fraction form
    15,205.61/20,983.75 = 8,491.22/x
  3. Step 3: Cross multiply
    15,205.61x = 20,983.75 × 8,491.22
  4. Step 4: Simplify right side
    15,205.61x = 178,177,668.91
  5. Step 5: Solve for x
    x = 178,177,668.91/15,205.61
  6. Step 6: Final answer
    x = 11,717.89

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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.