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Finding the Fourth Proportional to 5,714.05, 7,906.95 and 4,873.42

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Solution

The fourth proportional to 5,714.05, 7,906.95 and 4,873.42 is: 6,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.05 : 7,906.95 = 4,873.42 : x
  2. Step 2: Convert to fraction form
    5,714.05/7,906.95 = 4,873.42/x
  3. Step 3: Cross multiply
    5,714.05x = 7,906.95 × 4,873.42
  4. Step 4: Simplify right side
    5,714.05x = 38,533,888.27
  5. Step 5: Solve for x
    x = 38,533,888.27/5,714.05
  6. Step 6: Final answer
    x = 6,743.71

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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.