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Finding the Fourth Proportional to 4,762.49, 7,144.41 and 1,641.65

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Solution

The fourth proportional to 4,762.49, 7,144.41 and 1,641.65 is: 2,462.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.49 : 7,144.41 = 1,641.65 : x
  2. Step 2: Convert to fraction form
    4,762.49/7,144.41 = 1,641.65/x
  3. Step 3: Cross multiply
    4,762.49x = 7,144.41 × 1,641.65
  4. Step 4: Simplify right side
    4,762.49x = 11,728,612.47
  5. Step 5: Solve for x
    x = 11,728,612.47/4,762.49
  6. Step 6: Final answer
    x = 2,462.71

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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.