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Finding the Fourth Proportional to 9,991.44, 13,785.84 and 5,799.84

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Solution

The fourth proportional to 9,991.44, 13,785.84 and 5,799.84 is: 8,002.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.44 : 13,785.84 = 5,799.84 : x
  2. Step 2: Convert to fraction form
    9,991.44/13,785.84 = 5,799.84/x
  3. Step 3: Cross multiply
    9,991.44x = 13,785.84 × 5,799.84
  4. Step 4: Simplify right side
    9,991.44x = 79,955,666.27
  5. Step 5: Solve for x
    x = 79,955,666.27/9,991.44
  6. Step 6: Final answer
    x = 8,002.42

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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.