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Finding the Fourth Proportional to 6,954.69, 9,591.88 and 6,113.60

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Solution

The fourth proportional to 6,954.69, 9,591.88 and 6,113.60 is: 8,431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.69 : 9,591.88 = 6,113.60 : x
  2. Step 2: Convert to fraction form
    6,954.69/9,591.88 = 6,113.60/x
  3. Step 3: Cross multiply
    6,954.69x = 9,591.88 × 6,113.60
  4. Step 4: Simplify right side
    6,954.69x = 58,640,917.57
  5. Step 5: Solve for x
    x = 58,640,917.57/6,954.69
  6. Step 6: Final answer
    x = 8,431.86

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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.