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Finding the Fourth Proportional to 17,044.48, 23,519.34 and 9,489

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Solution

The fourth proportional to 17,044.48, 23,519.34 and 9,489 is: 13,093.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,044.48 : 23,519.34 = 9,489 : x
  2. Step 2: Convert to fraction form
    17,044.48/23,519.34 = 9,489/x
  3. Step 3: Cross multiply
    17,044.48x = 23,519.34 × 9,489
  4. Step 4: Simplify right side
    17,044.48x = 223,175,017.26
  5. Step 5: Solve for x
    x = 223,175,017.26/17,044.48
  6. Step 6: Final answer
    x = 13,093.68

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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.