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Finding the Fourth Proportional to 4,906.32, 6,764.76 and 4,274.52

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Solution

The fourth proportional to 4,906.32, 6,764.76 and 4,274.52 is: 5,893.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.32 : 6,764.76 = 4,274.52 : x
  2. Step 2: Convert to fraction form
    4,906.32/6,764.76 = 4,274.52/x
  3. Step 3: Cross multiply
    4,906.32x = 6,764.76 × 4,274.52
  4. Step 4: Simplify right side
    4,906.32x = 28,916,101.92
  5. Step 5: Solve for x
    x = 28,916,101.92/4,906.32
  6. Step 6: Final answer
    x = 5,893.64

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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.