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Finding the Fourth Proportional to 6,348.62, 9,474.71 and 6,201.20

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Solution

The fourth proportional to 6,348.62, 9,474.71 and 6,201.20 is: 9,254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.62 : 9,474.71 = 6,201.20 : x
  2. Step 2: Convert to fraction form
    6,348.62/9,474.71 = 6,201.20/x
  3. Step 3: Cross multiply
    6,348.62x = 9,474.71 × 6,201.20
  4. Step 4: Simplify right side
    6,348.62x = 58,754,571.65
  5. Step 5: Solve for x
    x = 58,754,571.65/6,348.62
  6. Step 6: Final answer
    x = 9,254.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.