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Finding the Fourth Proportional to 6,314.63, 8,714.39 and 3,520.13

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Solution

The fourth proportional to 6,314.63, 8,714.39 and 3,520.13 is: 4,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.63 : 8,714.39 = 3,520.13 : x
  2. Step 2: Convert to fraction form
    6,314.63/8,714.39 = 3,520.13/x
  3. Step 3: Cross multiply
    6,314.63x = 8,714.39 × 3,520.13
  4. Step 4: Simplify right side
    6,314.63x = 30,675,724.50
  5. Step 5: Solve for x
    x = 30,675,724.50/6,314.63
  6. Step 6: Final answer
    x = 4,857.89

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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.