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Finding the Fourth Proportional to 17,165, 23,688.42 and 9,713

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Solution

The fourth proportional to 17,165, 23,688.42 and 9,713 is: 13,404.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,165 : 23,688.42 = 9,713 : x
  2. Step 2: Convert to fraction form
    17,165/23,688.42 = 9,713/x
  3. Step 3: Cross multiply
    17,165x = 23,688.42 × 9,713
  4. Step 4: Simplify right side
    17,165x = 230,085,623.46
  5. Step 5: Solve for x
    x = 230,085,623.46/17,165
  6. Step 6: Final answer
    x = 13,404.35

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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.