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Finding the Fourth Proportional to 6,205.88, 9,314.97 and 5,049.51

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Solution

The fourth proportional to 6,205.88, 9,314.97 and 5,049.51 is: 7,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.88 : 9,314.97 = 5,049.51 : x
  2. Step 2: Convert to fraction form
    6,205.88/9,314.97 = 5,049.51/x
  3. Step 3: Cross multiply
    6,205.88x = 9,314.97 × 5,049.51
  4. Step 4: Simplify right side
    6,205.88x = 47,036,034.16
  5. Step 5: Solve for x
    x = 47,036,034.16/6,205.88
  6. Step 6: Final answer
    x = 7,579.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.