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Finding the Fourth Proportional to 6,314.49, 8,713.80 and 3,443.11

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Solution

The fourth proportional to 6,314.49, 8,713.80 and 3,443.11 is: 4,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.49 : 8,713.80 = 3,443.11 : x
  2. Step 2: Convert to fraction form
    6,314.49/8,713.80 = 3,443.11/x
  3. Step 3: Cross multiply
    6,314.49x = 8,713.80 × 3,443.11
  4. Step 4: Simplify right side
    6,314.49x = 30,002,528.35
  5. Step 5: Solve for x
    x = 30,002,528.35/6,314.49
  6. Step 6: Final answer
    x = 4,751.38

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Half scale
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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.