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Finding the Fourth Proportional to 9,982.44, 13,779.18 and 5,794.20

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Solution

The fourth proportional to 9,982.44, 13,779.18 and 5,794.20 is: 7,997.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.44 : 13,779.18 = 5,794.20 : x
  2. Step 2: Convert to fraction form
    9,982.44/13,779.18 = 5,794.20/x
  3. Step 3: Cross multiply
    9,982.44x = 13,779.18 × 5,794.20
  4. Step 4: Simplify right side
    9,982.44x = 79,839,324.76
  5. Step 5: Solve for x
    x = 79,839,324.76/9,982.44
  6. Step 6: Final answer
    x = 7,997.98

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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.