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Finding the Fourth Proportional to 6,891.92, 10,337.40 and 2,274.64

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Solution

The fourth proportional to 6,891.92, 10,337.40 and 2,274.64 is: 3,411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.92 : 10,337.40 = 2,274.64 : x
  2. Step 2: Convert to fraction form
    6,891.92/10,337.40 = 2,274.64/x
  3. Step 3: Cross multiply
    6,891.92x = 10,337.40 × 2,274.64
  4. Step 4: Simplify right side
    6,891.92x = 23,513,863.54
  5. Step 5: Solve for x
    x = 23,513,863.54/6,891.92
  6. Step 6: Final answer
    x = 3,411.80

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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.