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Finding the Fourth Proportional to 6,714.86, 9,266.97 and 3,882.74

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Solution

The fourth proportional to 6,714.86, 9,266.97 and 3,882.74 is: 5,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.86 : 9,266.97 = 3,882.74 : x
  2. Step 2: Convert to fraction form
    6,714.86/9,266.97 = 3,882.74/x
  3. Step 3: Cross multiply
    6,714.86x = 9,266.97 × 3,882.74
  4. Step 4: Simplify right side
    6,714.86x = 35,981,235.10
  5. Step 5: Solve for x
    x = 35,981,235.10/6,714.86
  6. Step 6: Final answer
    x = 5,358.45

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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.