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Finding the Fourth Proportional to 4,896.78, 7,346.07 and 1,612.17

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Solution

The fourth proportional to 4,896.78, 7,346.07 and 1,612.17 is: 2,418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.78 : 7,346.07 = 1,612.17 : x
  2. Step 2: Convert to fraction form
    4,896.78/7,346.07 = 1,612.17/x
  3. Step 3: Cross multiply
    4,896.78x = 7,346.07 × 1,612.17
  4. Step 4: Simplify right side
    4,896.78x = 11,843,147.27
  5. Step 5: Solve for x
    x = 11,843,147.27/4,896.78
  6. Step 6: Final answer
    x = 2,418.56

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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.