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Finding the Fourth Proportional to 8,342.87, 11,512.02 and 4,984.97

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Solution

The fourth proportional to 8,342.87, 11,512.02 and 4,984.97 is: 6,878.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.87 : 11,512.02 = 4,984.97 : x
  2. Step 2: Convert to fraction form
    8,342.87/11,512.02 = 4,984.97/x
  3. Step 3: Cross multiply
    8,342.87x = 11,512.02 × 4,984.97
  4. Step 4: Simplify right side
    8,342.87x = 57,387,103.12
  5. Step 5: Solve for x
    x = 57,387,103.12/8,342.87
  6. Step 6: Final answer
    x = 6,878.58

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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.