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Finding the Fourth Proportional to 7,194.28, 9,923.48 and 4,640.92

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Solution

The fourth proportional to 7,194.28, 9,923.48 and 4,640.92 is: 6,401.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.28 : 9,923.48 = 4,640.92 : x
  2. Step 2: Convert to fraction form
    7,194.28/9,923.48 = 4,640.92/x
  3. Step 3: Cross multiply
    7,194.28x = 9,923.48 × 4,640.92
  4. Step 4: Simplify right side
    7,194.28x = 46,054,076.80
  5. Step 5: Solve for x
    x = 46,054,076.80/7,194.28
  6. Step 6: Final answer
    x = 6,401.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.