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Finding the Fourth Proportional to 9,086.64, 13,630.76 and 2,512.82

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Solution

The fourth proportional to 9,086.64, 13,630.76 and 2,512.82 is: 3,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086.64 : 13,630.76 = 2,512.82 : x
  2. Step 2: Convert to fraction form
    9,086.64/13,630.76 = 2,512.82/x
  3. Step 3: Cross multiply
    9,086.64x = 13,630.76 × 2,512.82
  4. Step 4: Simplify right side
    9,086.64x = 34,251,646.34
  5. Step 5: Solve for x
    x = 34,251,646.34/9,086.64
  6. Step 6: Final answer
    x = 3,769.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.