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Finding the Fourth Proportional to 10,598.97, 15,883.60 and 7,964.79

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Solution

The fourth proportional to 10,598.97, 15,883.60 and 7,964.79 is: 11,936.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.97 : 15,883.60 = 7,964.79 : x
  2. Step 2: Convert to fraction form
    10,598.97/15,883.60 = 7,964.79/x
  3. Step 3: Cross multiply
    10,598.97x = 15,883.60 × 7,964.79
  4. Step 4: Simplify right side
    10,598.97x = 126,509,540.98
  5. Step 5: Solve for x
    x = 126,509,540.98/10,598.97
  6. Step 6: Final answer
    x = 11,936.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.