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Finding the Fourth Proportional to 3,197.52, 4,796.10 and 1,006.20

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Solution

The fourth proportional to 3,197.52, 4,796.10 and 1,006.20 is: 1,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.52 : 4,796.10 = 1,006.20 : x
  2. Step 2: Convert to fraction form
    3,197.52/4,796.10 = 1,006.20/x
  3. Step 3: Cross multiply
    3,197.52x = 4,796.10 × 1,006.20
  4. Step 4: Simplify right side
    3,197.52x = 4,825,835.82
  5. Step 5: Solve for x
    x = 4,825,835.82/3,197.52
  6. Step 6: Final answer
    x = 1,509.24

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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.