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Finding the Fourth Proportional to 4,952.78, 7,427.46 and 1,832.12

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Solution

The fourth proportional to 4,952.78, 7,427.46 and 1,832.12 is: 2,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.78 : 7,427.46 = 1,832.12 : x
  2. Step 2: Convert to fraction form
    4,952.78/7,427.46 = 1,832.12/x
  3. Step 3: Cross multiply
    4,952.78x = 7,427.46 × 1,832.12
  4. Step 4: Simplify right side
    4,952.78x = 13,607,998.02
  5. Step 5: Solve for x
    x = 13,607,998.02/4,952.78
  6. Step 6: Final answer
    x = 2,747.55

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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.