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Finding the Fourth Proportional to 11,534.96, 17,203.95 and 9,791.43

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Solution

The fourth proportional to 11,534.96, 17,203.95 and 9,791.43 is: 14,603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.96 : 17,203.95 = 9,791.43 : x
  2. Step 2: Convert to fraction form
    11,534.96/17,203.95 = 9,791.43/x
  3. Step 3: Cross multiply
    11,534.96x = 17,203.95 × 9,791.43
  4. Step 4: Simplify right side
    11,534.96x = 168,451,272.15
  5. Step 5: Solve for x
    x = 168,451,272.15/11,534.96
  6. Step 6: Final answer
    x = 14,603.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.