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Finding the Fourth Proportional to 6,843.92, 10,264.12 and 2,684.08

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Solution

The fourth proportional to 6,843.92, 10,264.12 and 2,684.08 is: 4,025.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.92 : 10,264.12 = 2,684.08 : x
  2. Step 2: Convert to fraction form
    6,843.92/10,264.12 = 2,684.08/x
  3. Step 3: Cross multiply
    6,843.92x = 10,264.12 × 2,684.08
  4. Step 4: Simplify right side
    6,843.92x = 27,549,719.21
  5. Step 5: Solve for x
    x = 27,549,719.21/6,843.92
  6. Step 6: Final answer
    x = 4,025.43

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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.