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Finding the Fourth Proportional to 4,665.62, 6,998.40 and 1,202.90

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Solution

The fourth proportional to 4,665.62, 6,998.40 and 1,202.90 is: 1,804.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.62 : 6,998.40 = 1,202.90 : x
  2. Step 2: Convert to fraction form
    4,665.62/6,998.40 = 1,202.90/x
  3. Step 3: Cross multiply
    4,665.62x = 6,998.40 × 1,202.90
  4. Step 4: Simplify right side
    4,665.62x = 8,418,375.36
  5. Step 5: Solve for x
    x = 8,418,375.36/4,665.62
  6. Step 6: Final answer
    x = 1,804.34

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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.