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Finding the Fourth Proportional to 17,210, 23,747.48 and 9,553.16

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Solution

The fourth proportional to 17,210, 23,747.48 and 9,553.16 is: 13,182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,210 : 23,747.48 = 9,553.16 : x
  2. Step 2: Convert to fraction form
    17,210/23,747.48 = 9,553.16/x
  3. Step 3: Cross multiply
    17,210x = 23,747.48 × 9,553.16
  4. Step 4: Simplify right side
    17,210x = 226,863,476.04
  5. Step 5: Solve for x
    x = 226,863,476.04/17,210
  6. Step 6: Final answer
    x = 13,182.07

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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.