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Finding the Fourth Proportional to 9,282.22, 13,920.08 and 3,734.12

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Solution

The fourth proportional to 9,282.22, 13,920.08 and 3,734.12 is: 5,599.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.22 : 13,920.08 = 3,734.12 : x
  2. Step 2: Convert to fraction form
    9,282.22/13,920.08 = 3,734.12/x
  3. Step 3: Cross multiply
    9,282.22x = 13,920.08 × 3,734.12
  4. Step 4: Simplify right side
    9,282.22x = 51,979,239.79
  5. Step 5: Solve for x
    x = 51,979,239.79/9,282.22
  6. Step 6: Final answer
    x = 5,599.87

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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.