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Finding the Fourth Proportional to 4,641.65, 6,960.42 and 2,174.48

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Solution

The fourth proportional to 4,641.65, 6,960.42 and 2,174.48 is: 3,260.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.65 : 6,960.42 = 2,174.48 : x
  2. Step 2: Convert to fraction form
    4,641.65/6,960.42 = 2,174.48/x
  3. Step 3: Cross multiply
    4,641.65x = 6,960.42 × 2,174.48
  4. Step 4: Simplify right side
    4,641.65x = 15,135,259.28
  5. Step 5: Solve for x
    x = 15,135,259.28/4,641.65
  6. Step 6: Final answer
    x = 3,260.75

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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.