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Finding the Fourth Proportional to 6,589.57, 9,883.14 and 2,206.93

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Solution

The fourth proportional to 6,589.57, 9,883.14 and 2,206.93 is: 3,309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.57 : 9,883.14 = 2,206.93 : x
  2. Step 2: Convert to fraction form
    6,589.57/9,883.14 = 2,206.93/x
  3. Step 3: Cross multiply
    6,589.57x = 9,883.14 × 2,206.93
  4. Step 4: Simplify right side
    6,589.57x = 21,811,398.16
  5. Step 5: Solve for x
    x = 21,811,398.16/6,589.57
  6. Step 6: Final answer
    x = 3,309.99

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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.