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Finding the Fourth Proportional to 17,874.48, 24,668.52 and 10,422

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Solution

The fourth proportional to 17,874.48, 24,668.52 and 10,422 is: 14,383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,874.48 : 24,668.52 = 10,422 : x
  2. Step 2: Convert to fraction form
    17,874.48/24,668.52 = 10,422/x
  3. Step 3: Cross multiply
    17,874.48x = 24,668.52 × 10,422
  4. Step 4: Simplify right side
    17,874.48x = 257,095,315.44
  5. Step 5: Solve for x
    x = 257,095,315.44/17,874.48
  6. Step 6: Final answer
    x = 14,383.37

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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.