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Finding the Fourth Proportional to 17,253, 23,812.38 and 9,801

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Solution

The fourth proportional to 17,253, 23,812.38 and 9,801 is: 13,527.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,253 : 23,812.38 = 9,801 : x
  2. Step 2: Convert to fraction form
    17,253/23,812.38 = 9,801/x
  3. Step 3: Cross multiply
    17,253x = 23,812.38 × 9,801
  4. Step 4: Simplify right side
    17,253x = 233,385,136.38
  5. Step 5: Solve for x
    x = 233,385,136.38/17,253
  6. Step 6: Final answer
    x = 13,527.22

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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.