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Finding the Fourth Proportional to 6,284.90, 8,672.99 and 3,768.44

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Solution

The fourth proportional to 6,284.90, 8,672.99 and 3,768.44 is: 5,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.90 : 8,672.99 = 3,768.44 : x
  2. Step 2: Convert to fraction form
    6,284.90/8,672.99 = 3,768.44/x
  3. Step 3: Cross multiply
    6,284.90x = 8,672.99 × 3,768.44
  4. Step 4: Simplify right side
    6,284.90x = 32,683,580.23
  5. Step 5: Solve for x
    x = 32,683,580.23/6,284.90
  6. Step 6: Final answer
    x = 5,200.34

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Half scale
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Double 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.