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Finding the Fourth Proportional to 4,194.76, 6,292.90 and 1,728.21

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Solution

The fourth proportional to 4,194.76, 6,292.90 and 1,728.21 is: 2,592.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.76 : 6,292.90 = 1,728.21 : x
  2. Step 2: Convert to fraction form
    4,194.76/6,292.90 = 1,728.21/x
  3. Step 3: Cross multiply
    4,194.76x = 6,292.90 × 1,728.21
  4. Step 4: Simplify right side
    4,194.76x = 10,875,454.87
  5. Step 5: Solve for x
    x = 10,875,454.87/4,194.76
  6. Step 6: Final answer
    x = 2,592.63

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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.