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Finding the Fourth Proportional to 9,894.97, 13,659.99 and 6,725.02

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Solution

The fourth proportional to 9,894.97, 13,659.99 and 6,725.02 is: 9,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.97 : 13,659.99 = 6,725.02 : x
  2. Step 2: Convert to fraction form
    9,894.97/13,659.99 = 6,725.02/x
  3. Step 3: Cross multiply
    9,894.97x = 13,659.99 × 6,725.02
  4. Step 4: Simplify right side
    9,894.97x = 91,863,705.95
  5. Step 5: Solve for x
    x = 91,863,705.95/9,894.97
  6. Step 6: Final answer
    x = 9,283.88

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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.