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Finding the Fourth Proportional to 9,282.72, 13,924.08 and 4,902.24

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Solution

The fourth proportional to 9,282.72, 13,924.08 and 4,902.24 is: 7,353.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.72 : 13,924.08 = 4,902.24 : x
  2. Step 2: Convert to fraction form
    9,282.72/13,924.08 = 4,902.24/x
  3. Step 3: Cross multiply
    9,282.72x = 13,924.08 × 4,902.24
  4. Step 4: Simplify right side
    9,282.72x = 68,259,181.94
  5. Step 5: Solve for x
    x = 68,259,181.94/9,282.72
  6. Step 6: Final answer
    x = 7,353.36

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Similar ratio
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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.