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Finding the Fourth Proportional to 9,961.92, 13,752.97 and 5,984

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Solution

The fourth proportional to 9,961.92, 13,752.97 and 5,984 is: 8,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.92 : 13,752.97 = 5,984 : x
  2. Step 2: Convert to fraction form
    9,961.92/13,752.97 = 5,984/x
  3. Step 3: Cross multiply
    9,961.92x = 13,752.97 × 5,984
  4. Step 4: Simplify right side
    9,961.92x = 82,297,772.48
  5. Step 5: Solve for x
    x = 82,297,772.48/9,961.92
  6. Step 6: Final answer
    x = 8,261.24

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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.