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Finding the Fourth Proportional to 4,796.31, 7,194.52 and 1,509.44

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Solution

The fourth proportional to 4,796.31, 7,194.52 and 1,509.44 is: 2,264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.31 : 7,194.52 = 1,509.44 : x
  2. Step 2: Convert to fraction form
    4,796.31/7,194.52 = 1,509.44/x
  3. Step 3: Cross multiply
    4,796.31x = 7,194.52 × 1,509.44
  4. Step 4: Simplify right side
    4,796.31x = 10,859,662.18
  5. Step 5: Solve for x
    x = 10,859,662.18/4,796.31
  6. Step 6: Final answer
    x = 2,264.17

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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.