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Finding the Fourth Proportional to 17,791.88, 24,552.40 and 9,834

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Solution

The fourth proportional to 17,791.88, 24,552.40 and 9,834 is: 13,570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,791.88 : 24,552.40 = 9,834 : x
  2. Step 2: Convert to fraction form
    17,791.88/24,552.40 = 9,834/x
  3. Step 3: Cross multiply
    17,791.88x = 24,552.40 × 9,834
  4. Step 4: Simplify right side
    17,791.88x = 241,448,301.60
  5. Step 5: Solve for x
    x = 241,448,301.60/17,791.88
  6. Step 6: Final answer
    x = 13,570.70

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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.