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Finding the Fourth Proportional to 8,335.72, 11,494.56 and 7,213.24

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Solution

The fourth proportional to 8,335.72, 11,494.56 and 7,213.24 is: 9,946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,335.72 : 11,494.56 = 7,213.24 : x
  2. Step 2: Convert to fraction form
    8,335.72/11,494.56 = 7,213.24/x
  3. Step 3: Cross multiply
    8,335.72x = 11,494.56 × 7,213.24
  4. Step 4: Simplify right side
    8,335.72x = 82,913,019.97
  5. Step 5: Solve for x
    x = 82,913,019.97/8,335.72
  6. Step 6: Final answer
    x = 9,946.71

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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.