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Finding the Fourth Proportional to 4,976.31, 7,464.50 and 1,513.56

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Solution

The fourth proportional to 4,976.31, 7,464.50 and 1,513.56 is: 2,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.31 : 7,464.50 = 1,513.56 : x
  2. Step 2: Convert to fraction form
    4,976.31/7,464.50 = 1,513.56/x
  3. Step 3: Cross multiply
    4,976.31x = 7,464.50 × 1,513.56
  4. Step 4: Simplify right side
    4,976.31x = 11,297,968.62
  5. Step 5: Solve for x
    x = 11,297,968.62/4,976.31
  6. Step 6: Final answer
    x = 2,270.35

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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.