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Finding the Fourth Proportional to 5,662.68, 7,814.90 and 3,144.92

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Solution

The fourth proportional to 5,662.68, 7,814.90 and 3,144.92 is: 4,340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.68 : 7,814.90 = 3,144.92 : x
  2. Step 2: Convert to fraction form
    5,662.68/7,814.90 = 3,144.92/x
  3. Step 3: Cross multiply
    5,662.68x = 7,814.90 × 3,144.92
  4. Step 4: Simplify right side
    5,662.68x = 24,577,235.31
  5. Step 5: Solve for x
    x = 24,577,235.31/5,662.68
  6. Step 6: Final answer
    x = 4,340.21

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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.