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Finding the Fourth Proportional to 4,665.70, 6,998.70 and 1,744.30

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Solution

The fourth proportional to 4,665.70, 6,998.70 and 1,744.30 is: 2,616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.70 : 6,998.70 = 1,744.30 : x
  2. Step 2: Convert to fraction form
    4,665.70/6,998.70 = 1,744.30/x
  3. Step 3: Cross multiply
    4,665.70x = 6,998.70 × 1,744.30
  4. Step 4: Simplify right side
    4,665.70x = 12,207,832.41
  5. Step 5: Solve for x
    x = 12,207,832.41/4,665.70
  6. Step 6: Final answer
    x = 2,616.51

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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.