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Finding the Fourth Proportional to 7,231.12, 9,978.84 and 3,919.12

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Solution

The fourth proportional to 7,231.12, 9,978.84 and 3,919.12 is: 5,408.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.12 : 9,978.84 = 3,919.12 : x
  2. Step 2: Convert to fraction form
    7,231.12/9,978.84 = 3,919.12/x
  3. Step 3: Cross multiply
    7,231.12x = 9,978.84 × 3,919.12
  4. Step 4: Simplify right side
    7,231.12x = 39,108,271.42
  5. Step 5: Solve for x
    x = 39,108,271.42/7,231.12
  6. Step 6: Final answer
    x = 5,408.33

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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.