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Finding the Fourth Proportional to 6,241.84, 8,613.86 and 3,409.32

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Solution

The fourth proportional to 6,241.84, 8,613.86 and 3,409.32 is: 4,704.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.84 : 8,613.86 = 3,409.32 : x
  2. Step 2: Convert to fraction form
    6,241.84/8,613.86 = 3,409.32/x
  3. Step 3: Cross multiply
    6,241.84x = 8,613.86 × 3,409.32
  4. Step 4: Simplify right side
    6,241.84x = 29,367,405.18
  5. Step 5: Solve for x
    x = 29,367,405.18/6,241.84
  6. Step 6: Final answer
    x = 4,704.93

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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.