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Finding the Fourth Proportional to 4,946.48, 6,819.96 and 4,274.48

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Solution

The fourth proportional to 4,946.48, 6,819.96 and 4,274.48 is: 5,893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.48 : 6,819.96 = 4,274.48 : x
  2. Step 2: Convert to fraction form
    4,946.48/6,819.96 = 4,274.48/x
  3. Step 3: Cross multiply
    4,946.48x = 6,819.96 × 4,274.48
  4. Step 4: Simplify right side
    4,946.48x = 29,151,782.62
  5. Step 5: Solve for x
    x = 29,151,782.62/4,946.48
  6. Step 6: Final answer
    x = 5,893.44

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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.