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Finding the Fourth Proportional to 4,662.50, 6,992.13 and 1,739.21

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Solution

The fourth proportional to 4,662.50, 6,992.13 and 1,739.21 is: 2,608.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.50 : 6,992.13 = 1,739.21 : x
  2. Step 2: Convert to fraction form
    4,662.50/6,992.13 = 1,739.21/x
  3. Step 3: Cross multiply
    4,662.50x = 6,992.13 × 1,739.21
  4. Step 4: Simplify right side
    4,662.50x = 12,160,782.42
  5. Step 5: Solve for x
    x = 12,160,782.42/4,662.50
  6. Step 6: Final answer
    x = 2,608.21

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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.