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Finding the Fourth Proportional to 5,561.97, 7,674.55 and 3,203.65

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Solution

The fourth proportional to 5,561.97, 7,674.55 and 3,203.65 is: 4,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.97 : 7,674.55 = 3,203.65 : x
  2. Step 2: Convert to fraction form
    5,561.97/7,674.55 = 3,203.65/x
  3. Step 3: Cross multiply
    5,561.97x = 7,674.55 × 3,203.65
  4. Step 4: Simplify right side
    5,561.97x = 24,586,573.69
  5. Step 5: Solve for x
    x = 24,586,573.69/5,561.97
  6. Step 6: Final answer
    x = 4,420.48

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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.