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Finding the Fourth Proportional to 6,462.74, 9,694.11 and 1,782.79

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Solution

The fourth proportional to 6,462.74, 9,694.11 and 1,782.79 is: 2,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.74 : 9,694.11 = 1,782.79 : x
  2. Step 2: Convert to fraction form
    6,462.74/9,694.11 = 1,782.79/x
  3. Step 3: Cross multiply
    6,462.74x = 9,694.11 × 1,782.79
  4. Step 4: Simplify right side
    6,462.74x = 17,282,513.90
  5. Step 5: Solve for x
    x = 17,282,513.90/6,462.74
  6. Step 6: Final answer
    x = 2,674.18

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Similar ratio
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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.