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Finding the Fourth Proportional to 6,314.38, 8,714.87 and 3,661.27

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Solution

The fourth proportional to 6,314.38, 8,714.87 and 3,661.27 is: 5,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.38 : 8,714.87 = 3,661.27 : x
  2. Step 2: Convert to fraction form
    6,314.38/8,714.87 = 3,661.27/x
  3. Step 3: Cross multiply
    6,314.38x = 8,714.87 × 3,661.27
  4. Step 4: Simplify right side
    6,314.38x = 31,907,492.08
  5. Step 5: Solve for x
    x = 31,907,492.08/6,314.38
  6. Step 6: Final answer
    x = 5,053.15

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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.