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Finding the Fourth Proportional to 9,791.40, 13,512.54 and 6,961.80

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Solution

The fourth proportional to 9,791.40, 13,512.54 and 6,961.80 is: 9,607.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.40 : 13,512.54 = 6,961.80 : x
  2. Step 2: Convert to fraction form
    9,791.40/13,512.54 = 6,961.80/x
  3. Step 3: Cross multiply
    9,791.40x = 13,512.54 × 6,961.80
  4. Step 4: Simplify right side
    9,791.40x = 94,071,600.97
  5. Step 5: Solve for x
    x = 94,071,600.97/9,791.40
  6. Step 6: Final answer
    x = 9,607.57

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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.