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Finding the Fourth Proportional to 7,363, 10,161.38 and 4,176.42

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Solution

The fourth proportional to 7,363, 10,161.38 and 4,176.42 is: 5,763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,363 : 10,161.38 = 4,176.42 : x
  2. Step 2: Convert to fraction form
    7,363/10,161.38 = 4,176.42/x
  3. Step 3: Cross multiply
    7,363x = 10,161.38 × 4,176.42
  4. Step 4: Simplify right side
    7,363x = 42,438,190.66
  5. Step 5: Solve for x
    x = 42,438,190.66/7,363
  6. Step 6: Final answer
    x = 5,763.71

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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.