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Finding the Fourth Proportional to 11,474, 15,836.04 and 6,508.88

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Solution

The fourth proportional to 11,474, 15,836.04 and 6,508.88 is: 8,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474 : 15,836.04 = 6,508.88 : x
  2. Step 2: Convert to fraction form
    11,474/15,836.04 = 6,508.88/x
  3. Step 3: Cross multiply
    11,474x = 15,836.04 × 6,508.88
  4. Step 4: Simplify right side
    11,474x = 103,074,884.04
  5. Step 5: Solve for x
    x = 103,074,884.04/11,474
  6. Step 6: Final answer
    x = 8,983.34

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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.