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Finding the Fourth Proportional to 4,274.92, 6,407.82 and 1,934.68

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Solution

The fourth proportional to 4,274.92, 6,407.82 and 1,934.68 is: 2,899.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.92 : 6,407.82 = 1,934.68 : x
  2. Step 2: Convert to fraction form
    4,274.92/6,407.82 = 1,934.68/x
  3. Step 3: Cross multiply
    4,274.92x = 6,407.82 × 1,934.68
  4. Step 4: Simplify right side
    4,274.92x = 12,397,081.20
  5. Step 5: Solve for x
    x = 12,397,081.20/4,274.92
  6. Step 6: Final answer
    x = 2,899.96

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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.