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Finding the Fourth Proportional to 6,347.16, 8,760.42 and 3,694.14

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Solution

The fourth proportional to 6,347.16, 8,760.42 and 3,694.14 is: 5,098.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.16 : 8,760.42 = 3,694.14 : x
  2. Step 2: Convert to fraction form
    6,347.16/8,760.42 = 3,694.14/x
  3. Step 3: Cross multiply
    6,347.16x = 8,760.42 × 3,694.14
  4. Step 4: Simplify right side
    6,347.16x = 32,362,217.94
  5. Step 5: Solve for x
    x = 32,362,217.94/6,347.16
  6. Step 6: Final answer
    x = 5,098.69

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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.