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Finding the Fourth Proportional to 17,125, 23,634.42 and 9,673.48

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Solution

The fourth proportional to 17,125, 23,634.42 and 9,673.48 is: 13,350.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,125 : 23,634.42 = 9,673.48 : x
  2. Step 2: Convert to fraction form
    17,125/23,634.42 = 9,673.48/x
  3. Step 3: Cross multiply
    17,125x = 23,634.42 × 9,673.48
  4. Step 4: Simplify right side
    17,125x = 228,627,089.18
  5. Step 5: Solve for x
    x = 228,627,089.18/17,125
  6. Step 6: Final answer
    x = 13,350.49

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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.