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Finding the Fourth Proportional to 3,096.66, 4,647.03 and 1,636.83

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Solution

The fourth proportional to 3,096.66, 4,647.03 and 1,636.83 is: 2,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.66 : 4,647.03 = 1,636.83 : x
  2. Step 2: Convert to fraction form
    3,096.66/4,647.03 = 1,636.83/x
  3. Step 3: Cross multiply
    3,096.66x = 4,647.03 × 1,636.83
  4. Step 4: Simplify right side
    3,096.66x = 7,606,398.11
  5. Step 5: Solve for x
    x = 7,606,398.11/3,096.66
  6. Step 6: Final answer
    x = 2,456.32

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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.