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Finding the Fourth Proportional to 5,966.47, 8,234.49 and 3,608.63

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Solution

The fourth proportional to 5,966.47, 8,234.49 and 3,608.63 is: 4,980.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.47 : 8,234.49 = 3,608.63 : x
  2. Step 2: Convert to fraction form
    5,966.47/8,234.49 = 3,608.63/x
  3. Step 3: Cross multiply
    5,966.47x = 8,234.49 × 3,608.63
  4. Step 4: Simplify right side
    5,966.47x = 29,715,227.65
  5. Step 5: Solve for x
    x = 29,715,227.65/5,966.47
  6. Step 6: Final answer
    x = 4,980.37

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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.