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Finding the Fourth Proportional to 9,900.97, 13,663.34 and 5,923.02

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Solution

The fourth proportional to 9,900.97, 13,663.34 and 5,923.02 is: 8,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.97 : 13,663.34 = 5,923.02 : x
  2. Step 2: Convert to fraction form
    9,900.97/13,663.34 = 5,923.02/x
  3. Step 3: Cross multiply
    9,900.97x = 13,663.34 × 5,923.02
  4. Step 4: Simplify right side
    9,900.97x = 80,928,236.09
  5. Step 5: Solve for x
    x = 80,928,236.09/9,900.97
  6. Step 6: Final answer
    x = 8,173.77

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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.