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Finding the Fourth Proportional to 6,512.79, 8,986.10 and 3,680.22

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Solution

The fourth proportional to 6,512.79, 8,986.10 and 3,680.22 is: 5,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.79 : 8,986.10 = 3,680.22 : x
  2. Step 2: Convert to fraction form
    6,512.79/8,986.10 = 3,680.22/x
  3. Step 3: Cross multiply
    6,512.79x = 8,986.10 × 3,680.22
  4. Step 4: Simplify right side
    6,512.79x = 33,070,806.54
  5. Step 5: Solve for x
    x = 33,070,806.54/6,512.79
  6. Step 6: Final answer
    x = 5,077.82

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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.